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Algebraic cycles, sheaves, shtukas, and moduli [[electronic resource] ] : Impanga lecture notes / / Piotr Pragacz, ed
| Algebraic cycles, sheaves, shtukas, and moduli [[electronic resource] ] : Impanga lecture notes / / Piotr Pragacz, ed |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Basel, : Birkhäuser |
| Descrizione fisica | 1 online resource (244 p.) |
| Disciplina | 516.35 |
| Altri autori (Persone) | PragaczPiotr |
| Collana | Trends in mathematics |
| Soggetto topico |
Algebraic cycles
Moduli theory Sheaf theory Vector bundles |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-24208-X
9786611242084 3-7643-8537-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Notes on the Life and Work of Józef Maria Hoene-Wro?ski -- Exotic Fine Moduli Spaces of Coherent Sheaves -- Moduli Spaces of Coherent Sheaves on Multiples Curves -- Lectures on Principal Bundles over Projective Varieties -- Lectures on Torsion-free Sheaves and Their Moduli -- Miscellany on the Zero Schemes of Sections of Vector Bundles -- Thom Polynomials of Invariant Cones, Schur Functions and Positivity -- Geometric Invariant Theory Relative to a Base Curve -- Some Applications of Algebraic Cycles to Affine Algebraic Geometry -- to the Stacks of Shtukas. |
| Record Nr. | UNINA-9910450879503321 |
| Basel, : Birkhäuser | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic cycles, sheaves, shtukas, and moduli [[electronic resource] ] : Impanga lecture notes / / Piotr Pragacz, ed
| Algebraic cycles, sheaves, shtukas, and moduli [[electronic resource] ] : Impanga lecture notes / / Piotr Pragacz, ed |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Basel, : Birkhäuser |
| Descrizione fisica | 1 online resource (244 p.) |
| Disciplina | 516.35 |
| Altri autori (Persone) | PragaczPiotr |
| Collana | Trends in mathematics |
| Soggetto topico |
Algebraic cycles
Moduli theory Sheaf theory Vector bundles |
| ISBN |
1-281-24208-X
9786611242084 3-7643-8537-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Notes on the Life and Work of Józef Maria Hoene-Wro?ski -- Exotic Fine Moduli Spaces of Coherent Sheaves -- Moduli Spaces of Coherent Sheaves on Multiples Curves -- Lectures on Principal Bundles over Projective Varieties -- Lectures on Torsion-free Sheaves and Their Moduli -- Miscellany on the Zero Schemes of Sections of Vector Bundles -- Thom Polynomials of Invariant Cones, Schur Functions and Positivity -- Geometric Invariant Theory Relative to a Base Curve -- Some Applications of Algebraic Cycles to Affine Algebraic Geometry -- to the Stacks of Shtukas. |
| Record Nr. | UNINA-9910777034603321 |
| Basel, : Birkhäuser | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic cycles, sheaves, shtukas, and moduli : Impanga lecture notes / / Piotr Pragacz, ed
| Algebraic cycles, sheaves, shtukas, and moduli : Impanga lecture notes / / Piotr Pragacz, ed |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Basel, : Birkhauser |
| Descrizione fisica | 1 online resource (244 p.) |
| Disciplina | 516.35 |
| Altri autori (Persone) | PragaczPiotr |
| Collana | Trends in mathematics |
| Soggetto topico |
Algebraic cycles
Moduli theory Sheaf theory Vector bundles |
| ISBN |
1-281-24208-X
9786611242084 3-7643-8537-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Notes on the Life and Work of Józef Maria Hoene-Wro?ski -- Exotic Fine Moduli Spaces of Coherent Sheaves -- Moduli Spaces of Coherent Sheaves on Multiples Curves -- Lectures on Principal Bundles over Projective Varieties -- Lectures on Torsion-free Sheaves and Their Moduli -- Miscellany on the Zero Schemes of Sections of Vector Bundles -- Thom Polynomials of Invariant Cones, Schur Functions and Positivity -- Geometric Invariant Theory Relative to a Base Curve -- Some Applications of Algebraic Cycles to Affine Algebraic Geometry -- to the Stacks of Shtukas. |
| Record Nr. | UNINA-9910828502503321 |
| Basel, : Birkhauser | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic surfaces and holomorphic vector bundles / Robert Friedman
| Algebraic surfaces and holomorphic vector bundles / Robert Friedman |
| Autore | Friedman, Robert, 1955- |
| Pubbl/distr/stampa | New York : Springer, c1998 |
| Descrizione fisica | ix, 328 p. ; 24 cm |
| Disciplina | 515.35 |
| Collana | Universitext |
| Soggetto topico |
Surfaces, Algebraic
Vector bundles |
| ISBN | 0387983619 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001913479707536 |
Friedman, Robert, 1955-
|
||
| New York : Springer, c1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules . Part 1 / / Takuro Mochizuki
| Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules . Part 1 / / Takuro Mochizuki |
| Autore | Mochizuki Takuro <1972-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2007] |
| Descrizione fisica | 1 online resource (344 p.) |
| Disciplina | 514.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hodge theory
D-modules Vector bundles Harmonic maps |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0473-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Acknowledgement""; ""Chapter 1. Introduction""; ""1.1. Simpson's Meta-Theorem""; ""1.2. The purposes in this paper""; ""1.3. On the purpose (1)""; ""1.4. On the purpose (2)""; ""1.5. Some Remark""; ""1.6. The outline of the paper""; ""Part 1. Preliminary""; ""Chapter 2. Preliminary""; ""2.1. Notation""; ""2.2. Prolongation by an increasing order""; ""2.3. Preliminary for Î?c-equivariant bundle""; ""2.4. Some elementary preliminary for convexity""; ""2.5. Some lemmas for functions on a disc""; ""2.6. An elementary remark on some distributions""
""2.7. Preliminary from elementary linear algebra""""2.8. Preliminary from complex differential geometry""; ""2.9. Preliminary from functional analysis""; ""2.10. An estimate of the norms of Higgs field and the conjugate""; ""2.11. Convergency of the sequence of harmonic bundles""; ""2.12. Higgs field and twisted map""; ""Chapter 3. Preliminary for Mixed Twistor Structure""; ""3.1. P[sup(1)]-holomorphic vector bundle over X x P[sup(1)]""; ""3.2. Equivariant P[sup(1)]-holomorphic bundle over X x P[sup(1)]""; ""3.3. Tate objects and O(p,q)""; ""3.4. Equivalence of some categories"" ""3.5. Variation of P[sup(1)]-holomorphic bundles""""3.6. The twistor nilpotent orbit""; ""3.7. Split polarized mixed twistor structure and the nilpotent orbit""; ""3.8. The induced tuple on the divisor""; ""3.9. Translation of some results due to Kashiwara, Kawai and Saito""; ""3.10. R-triple in dimension 0 and twistor structure""; ""Chapter 4. Preliminary for Filtrations""; ""4.1. Filtrations and decompositions on a vector space""; ""4.2. Filtrations and decompositions on a vector bundle""; ""4.3. Compatibility of the filtrations and nilpotent maps""; ""4.4. Extension of splittings"" ""4.5. Compatibility of the filtrations and nilpotent maps on the divisors""""Chapter 5. Some Lemmas for Generically Splitted Case""; ""5.1. Filtrations""; ""5.2. Compatibility of morphisms and filtrations""; ""Chapter 6. Model Bundles""; ""6.1. Basic example I""; ""6.2. Basic example II""; ""Part 2. Prolongation of Deformed Holomorphic Bundles""; ""Chapter 7. Harmonic Bundles on a Punctured Disc""; ""7.1. Simpson's main estimate""; ""7.2. The KMS-structure of tame harmonic bundles on a punctured disc""; ""7.3. Basic comparison due to Simpson""; ""7.4. Multi-valued flat sections"" |
| Record Nr. | UNINA-9910480401303321 |
|
Mochizuki Takuro <1972->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2007] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules / / Takuro Mochizuki
| Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules / / Takuro Mochizuki |
| Autore | Mochizuki Takuro <1972-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2007] |
| Descrizione fisica | 1 online resource (262 p.) |
| Disciplina | 514.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hodge theory
D-modules Vector bundles Harmonic maps |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0474-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""15.4. Relation of the filt rations of C""""15.5. The characterization of C""; ""Chapter 16. The Filtrations of C[ð[sub(t)]]""; ""16.1. The filtration U[sup((λ[sub(0)]))]""; ""16.2. Preliminary reductions and decompositions""; ""16.3. Primitive decomposition""; ""16.4. The associated graded modules""; ""16.5. Some decompositions for Ï?[sub(t,u)]C[ð[sub(t)]]""; ""Chapter 17. The Weight Filtration on Ï?[sub(t,u)] and the Induced R-Triple""; ""17.1. The weight filtration on [sup(I)]L""; ""17.2. The filtration F[sup((λ[sub(0)]))] and the weight filtration""
""17.3. Strict specializability along Z[sub(i)] = 0""""17.4. Strict S-decomposability along Z[sub(i)] = 0""; ""Chapter 18. The Sesqui-linear Pairings""; ""18.1. The sesqui-linear pairing on C""; ""18.2. The sesqui-linear pairing on the induced flat bundles""; ""18.3. Preliminary for the calculation of the specialization""; ""18.4. The specialization of the pairings""; ""Chapter 19. Polarized Pure Twistor D-module and Tame Harmonic Bundles""; ""19.1. Correspondence""; ""19.2. The tameness of the corresponding harmonic bundle""; ""19.3. The existence of the prolongment"" ""19.4. The uniqueness of the prolongment""""19.5. The pure imaginary case""; ""19.6. The conjectures of Kashiwara and Sabbah""; ""Chapter 20. The Pure Twistor D-modules on a Smooth Curve (Appendix)""; ""20.1. Pure twistor D-module and tame harmonic bundle""; ""20.2. Twistor property for push-forward""; ""Part 5. Characterization of Semisimplicity by Tame Pure Imaginary Pluri-harmonic Metric""; ""Chapter 21. Preliminary""; ""21.1. Miscellaneous""; ""21.2. Elementary geometry of GL(r)/U(r)""; ""21.3. Maps associated to commuting tuple of endomorphisms"" ""21.4. Preliminary for harmonic maps and harmonic bundles""""Chapter 22. Tame Pure Imaginary Harmonic Bundle""; ""22.1. Definition""; ""22.2. Tame pure imaginary harmonic bundle on a punctured disc""; ""22.3. Semisimplicity""; ""22.4. The maximum principle""; ""22.5. The uniqueness of tame pure imaginary pluri-harmonic metric""; ""Chapter 23. The Dirichlet Problem in the Punctured Disc Case""; ""23.1. The Dirichlet problem for a sequence of the boundary values""; ""23.2. Family version""; ""Chapter 24. Control of the Energy of Twisted Maps on a Kahler Surface"" ""24.1. Around smooth points of divisors"" |
| Record Nr. | UNINA-9910480643203321 |
|
Mochizuki Takuro <1972->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2007] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules / / Takuro Mochizuki
| Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules / / Takuro Mochizuki |
| Autore | Mochizuki Takuro <1972-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2007] |
| Descrizione fisica | 1 online resource (262 p.) |
| Disciplina | 514.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hodge theory
D-modules Vector bundles Harmonic maps |
| ISBN | 1-4704-0474-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""15.4. Relation of the filt rations of C""""15.5. The characterization of C""; ""Chapter 16. The Filtrations of C[ð[sub(t)]]""; ""16.1. The filtration U[sup((λ[sub(0)]))]""; ""16.2. Preliminary reductions and decompositions""; ""16.3. Primitive decomposition""; ""16.4. The associated graded modules""; ""16.5. Some decompositions for Ï?[sub(t,u)]C[ð[sub(t)]]""; ""Chapter 17. The Weight Filtration on Ï?[sub(t,u)] and the Induced R-Triple""; ""17.1. The weight filtration on [sup(I)]L""; ""17.2. The filtration F[sup((λ[sub(0)]))] and the weight filtration""
""17.3. Strict specializability along Z[sub(i)] = 0""""17.4. Strict S-decomposability along Z[sub(i)] = 0""; ""Chapter 18. The Sesqui-linear Pairings""; ""18.1. The sesqui-linear pairing on C""; ""18.2. The sesqui-linear pairing on the induced flat bundles""; ""18.3. Preliminary for the calculation of the specialization""; ""18.4. The specialization of the pairings""; ""Chapter 19. Polarized Pure Twistor D-module and Tame Harmonic Bundles""; ""19.1. Correspondence""; ""19.2. The tameness of the corresponding harmonic bundle""; ""19.3. The existence of the prolongment"" ""19.4. The uniqueness of the prolongment""""19.5. The pure imaginary case""; ""19.6. The conjectures of Kashiwara and Sabbah""; ""Chapter 20. The Pure Twistor D-modules on a Smooth Curve (Appendix)""; ""20.1. Pure twistor D-module and tame harmonic bundle""; ""20.2. Twistor property for push-forward""; ""Part 5. Characterization of Semisimplicity by Tame Pure Imaginary Pluri-harmonic Metric""; ""Chapter 21. Preliminary""; ""21.1. Miscellaneous""; ""21.2. Elementary geometry of GL(r)/U(r)""; ""21.3. Maps associated to commuting tuple of endomorphisms"" ""21.4. Preliminary for harmonic maps and harmonic bundles""""Chapter 22. Tame Pure Imaginary Harmonic Bundle""; ""22.1. Definition""; ""22.2. Tame pure imaginary harmonic bundle on a punctured disc""; ""22.3. Semisimplicity""; ""22.4. The maximum principle""; ""22.5. The uniqueness of tame pure imaginary pluri-harmonic metric""; ""Chapter 23. The Dirichlet Problem in the Punctured Disc Case""; ""23.1. The Dirichlet problem for a sequence of the boundary values""; ""23.2. Family version""; ""Chapter 24. Control of the Energy of Twisted Maps on a Kahler Surface"" ""24.1. Around smooth points of divisors"" |
| Record Nr. | UNINA-9910788743303321 |
|
Mochizuki Takuro <1972->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2007] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules . Part 1 / / Takuro Mochizuki
| Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules . Part 1 / / Takuro Mochizuki |
| Autore | Mochizuki Takuro <1972-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2007] |
| Descrizione fisica | 1 online resource (344 p.) |
| Disciplina | 514.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hodge theory
D-modules Vector bundles Harmonic maps |
| ISBN | 1-4704-0473-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Acknowledgement""; ""Chapter 1. Introduction""; ""1.1. Simpson's Meta-Theorem""; ""1.2. The purposes in this paper""; ""1.3. On the purpose (1)""; ""1.4. On the purpose (2)""; ""1.5. Some Remark""; ""1.6. The outline of the paper""; ""Part 1. Preliminary""; ""Chapter 2. Preliminary""; ""2.1. Notation""; ""2.2. Prolongation by an increasing order""; ""2.3. Preliminary for Î?c-equivariant bundle""; ""2.4. Some elementary preliminary for convexity""; ""2.5. Some lemmas for functions on a disc""; ""2.6. An elementary remark on some distributions""
""2.7. Preliminary from elementary linear algebra""""2.8. Preliminary from complex differential geometry""; ""2.9. Preliminary from functional analysis""; ""2.10. An estimate of the norms of Higgs field and the conjugate""; ""2.11. Convergency of the sequence of harmonic bundles""; ""2.12. Higgs field and twisted map""; ""Chapter 3. Preliminary for Mixed Twistor Structure""; ""3.1. P[sup(1)]-holomorphic vector bundle over X x P[sup(1)]""; ""3.2. Equivariant P[sup(1)]-holomorphic bundle over X x P[sup(1)]""; ""3.3. Tate objects and O(p,q)""; ""3.4. Equivalence of some categories"" ""3.5. Variation of P[sup(1)]-holomorphic bundles""""3.6. The twistor nilpotent orbit""; ""3.7. Split polarized mixed twistor structure and the nilpotent orbit""; ""3.8. The induced tuple on the divisor""; ""3.9. Translation of some results due to Kashiwara, Kawai and Saito""; ""3.10. R-triple in dimension 0 and twistor structure""; ""Chapter 4. Preliminary for Filtrations""; ""4.1. Filtrations and decompositions on a vector space""; ""4.2. Filtrations and decompositions on a vector bundle""; ""4.3. Compatibility of the filtrations and nilpotent maps""; ""4.4. Extension of splittings"" ""4.5. Compatibility of the filtrations and nilpotent maps on the divisors""""Chapter 5. Some Lemmas for Generically Splitted Case""; ""5.1. Filtrations""; ""5.2. Compatibility of morphisms and filtrations""; ""Chapter 6. Model Bundles""; ""6.1. Basic example I""; ""6.2. Basic example II""; ""Part 2. Prolongation of Deformed Holomorphic Bundles""; ""Chapter 7. Harmonic Bundles on a Punctured Disc""; ""7.1. Simpson's main estimate""; ""7.2. The KMS-structure of tame harmonic bundles on a punctured disc""; ""7.3. Basic comparison due to Simpson""; ""7.4. Multi-valued flat sections"" |
| Record Nr. | UNINA-9910788743603321 |
|
Mochizuki Takuro <1972->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2007] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules / / Takuro Mochizuki
| Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules / / Takuro Mochizuki |
| Autore | Mochizuki Takuro <1972-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2007] |
| Descrizione fisica | 1 online resource (262 p.) |
| Disciplina | 514.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hodge theory
D-modules Vector bundles Harmonic maps |
| ISBN | 1-4704-0474-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""15.4. Relation of the filt rations of C""""15.5. The characterization of C""; ""Chapter 16. The Filtrations of C[ð[sub(t)]]""; ""16.1. The filtration U[sup((λ[sub(0)]))]""; ""16.2. Preliminary reductions and decompositions""; ""16.3. Primitive decomposition""; ""16.4. The associated graded modules""; ""16.5. Some decompositions for Ï?[sub(t,u)]C[ð[sub(t)]]""; ""Chapter 17. The Weight Filtration on Ï?[sub(t,u)] and the Induced R-Triple""; ""17.1. The weight filtration on [sup(I)]L""; ""17.2. The filtration F[sup((λ[sub(0)]))] and the weight filtration""
""17.3. Strict specializability along Z[sub(i)] = 0""""17.4. Strict S-decomposability along Z[sub(i)] = 0""; ""Chapter 18. The Sesqui-linear Pairings""; ""18.1. The sesqui-linear pairing on C""; ""18.2. The sesqui-linear pairing on the induced flat bundles""; ""18.3. Preliminary for the calculation of the specialization""; ""18.4. The specialization of the pairings""; ""Chapter 19. Polarized Pure Twistor D-module and Tame Harmonic Bundles""; ""19.1. Correspondence""; ""19.2. The tameness of the corresponding harmonic bundle""; ""19.3. The existence of the prolongment"" ""19.4. The uniqueness of the prolongment""""19.5. The pure imaginary case""; ""19.6. The conjectures of Kashiwara and Sabbah""; ""Chapter 20. The Pure Twistor D-modules on a Smooth Curve (Appendix)""; ""20.1. Pure twistor D-module and tame harmonic bundle""; ""20.2. Twistor property for push-forward""; ""Part 5. Characterization of Semisimplicity by Tame Pure Imaginary Pluri-harmonic Metric""; ""Chapter 21. Preliminary""; ""21.1. Miscellaneous""; ""21.2. Elementary geometry of GL(r)/U(r)""; ""21.3. Maps associated to commuting tuple of endomorphisms"" ""21.4. Preliminary for harmonic maps and harmonic bundles""""Chapter 22. Tame Pure Imaginary Harmonic Bundle""; ""22.1. Definition""; ""22.2. Tame pure imaginary harmonic bundle on a punctured disc""; ""22.3. Semisimplicity""; ""22.4. The maximum principle""; ""22.5. The uniqueness of tame pure imaginary pluri-harmonic metric""; ""Chapter 23. The Dirichlet Problem in the Punctured Disc Case""; ""23.1. The Dirichlet problem for a sequence of the boundary values""; ""23.2. Family version""; ""Chapter 24. Control of the Energy of Twisted Maps on a Kahler Surface"" ""24.1. Around smooth points of divisors"" |
| Record Nr. | UNINA-9910819099103321 |
|
Mochizuki Takuro <1972->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2007] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules . Part 1 / / Takuro Mochizuki
| Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules . Part 1 / / Takuro Mochizuki |
| Autore | Mochizuki Takuro <1972-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2007] |
| Descrizione fisica | 1 online resource (344 p.) |
| Disciplina | 514.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hodge theory
D-modules Vector bundles Harmonic maps |
| ISBN | 1-4704-0473-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Acknowledgement""; ""Chapter 1. Introduction""; ""1.1. Simpson's Meta-Theorem""; ""1.2. The purposes in this paper""; ""1.3. On the purpose (1)""; ""1.4. On the purpose (2)""; ""1.5. Some Remark""; ""1.6. The outline of the paper""; ""Part 1. Preliminary""; ""Chapter 2. Preliminary""; ""2.1. Notation""; ""2.2. Prolongation by an increasing order""; ""2.3. Preliminary for Î?c-equivariant bundle""; ""2.4. Some elementary preliminary for convexity""; ""2.5. Some lemmas for functions on a disc""; ""2.6. An elementary remark on some distributions""
""2.7. Preliminary from elementary linear algebra""""2.8. Preliminary from complex differential geometry""; ""2.9. Preliminary from functional analysis""; ""2.10. An estimate of the norms of Higgs field and the conjugate""; ""2.11. Convergency of the sequence of harmonic bundles""; ""2.12. Higgs field and twisted map""; ""Chapter 3. Preliminary for Mixed Twistor Structure""; ""3.1. P[sup(1)]-holomorphic vector bundle over X x P[sup(1)]""; ""3.2. Equivariant P[sup(1)]-holomorphic bundle over X x P[sup(1)]""; ""3.3. Tate objects and O(p,q)""; ""3.4. Equivalence of some categories"" ""3.5. Variation of P[sup(1)]-holomorphic bundles""""3.6. The twistor nilpotent orbit""; ""3.7. Split polarized mixed twistor structure and the nilpotent orbit""; ""3.8. The induced tuple on the divisor""; ""3.9. Translation of some results due to Kashiwara, Kawai and Saito""; ""3.10. R-triple in dimension 0 and twistor structure""; ""Chapter 4. Preliminary for Filtrations""; ""4.1. Filtrations and decompositions on a vector space""; ""4.2. Filtrations and decompositions on a vector bundle""; ""4.3. Compatibility of the filtrations and nilpotent maps""; ""4.4. Extension of splittings"" ""4.5. Compatibility of the filtrations and nilpotent maps on the divisors""""Chapter 5. Some Lemmas for Generically Splitted Case""; ""5.1. Filtrations""; ""5.2. Compatibility of morphisms and filtrations""; ""Chapter 6. Model Bundles""; ""6.1. Basic example I""; ""6.2. Basic example II""; ""Part 2. Prolongation of Deformed Holomorphic Bundles""; ""Chapter 7. Harmonic Bundles on a Punctured Disc""; ""7.1. Simpson's main estimate""; ""7.2. The KMS-structure of tame harmonic bundles on a punctured disc""; ""7.3. Basic comparison due to Simpson""; ""7.4. Multi-valued flat sections"" |
| Record Nr. | UNINA-9910812437703321 |
|
Mochizuki Takuro <1972->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2007] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Vector bundles
(61)
- Moduli theory (10)
- Hodge theory (9)
- D-modules (6)
- Harmonic maps (6)