Algebraic geometry over C[infinity]-rings / / Dominic Joyce |
Autore | Joyce Dominic D. |
Pubbl/distr/stampa | Providence, RI : , : American Mathematical Society, , [2019] |
Descrizione fisica | 1 online resource (152 pages) : illustrations |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico | Geometry, Algebraic |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-5336-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910480923503321 |
Joyce Dominic D.
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Providence, RI : , : American Mathematical Society, , [2019] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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Algebraic geometry over C[infinity]-rings / / Dominic Joyce |
Autore | Joyce Dominic D. |
Pubbl/distr/stampa | Providence, RI : , : American Mathematical Society, , [2019] |
Descrizione fisica | 1 online resource (152 pages) : illustrations |
Disciplina | 516.3/6 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico | Geometry, Algebraic |
ISBN | 1-4704-5336-3 |
Classificazione | 58A4014A2046E2551K10 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | C[infinity]-rings -- The C[infinity]-ring C[infinity](X) of a manifold X -- C[infinity]-ringed spaces and C[infinity]-schemes -- Modules over C[infinity]-rings and C[infinity]-schemes -- C[infinity]-stacks -- Deligne-Mumford C[infinity]-stacks -- Sheaves on Deligne-Mumford C[infinity]-stacks -- Orbifold strata of C[infinity]-stacks. |
Record Nr. | UNINA-9910793890203321 |
Joyce Dominic D.
![]() |
||
Providence, RI : , : American Mathematical Society, , [2019] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Algebraic geometry over C[infinity]-rings / / Dominic Joyce |
Autore | Joyce Dominic D. |
Pubbl/distr/stampa | Providence, RI : , : American Mathematical Society, , [2019] |
Descrizione fisica | 1 online resource (152 pages) : illustrations |
Disciplina | 516.3/6 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico | Geometry, Algebraic |
ISBN | 1-4704-5336-3 |
Classificazione | 58A4014A2046E2551K10 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | C[infinity]-rings -- The C[infinity]-ring C[infinity](X) of a manifold X -- C[infinity]-ringed spaces and C[infinity]-schemes -- Modules over C[infinity]-rings and C[infinity]-schemes -- C[infinity]-stacks -- Deligne-Mumford C[infinity]-stacks -- Sheaves on Deligne-Mumford C[infinity]-stacks -- Orbifold strata of C[infinity]-stacks. |
Record Nr. | UNINA-9910827586603321 |
Joyce Dominic D.
![]() |
||
Providence, RI : , : American Mathematical Society, , [2019] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
A theory of generalized Donaldson-Thomas invariants / / Dominic Joyce, Yinan Song |
Autore | Joyce Dominic D. |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
Descrizione fisica | 1 online resource (199 p.) |
Disciplina | 516.3/52 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Donaldson-Thomas invariants
Calabi-Yau manifolds Sheaf theory |
Soggetto genere / forma | Electronic books. |
ISBN | 0-8218-8752-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""5.4. Invariants ^{\ , }( �) counting stable pairs, and deformation-invariance of the ^{\ }( )""""Chapter 6. Examples, applications, and generalizations""; ""6.1. Computing ^{ , }( �), ^{ }( ) and ^{ }( ) in examples""; ""6.2. Integrality properties of the ^{ }( )""; ""6.3. Counting dimension zero sheaves""; ""6.4. Counting dimension one sheaves""; ""6.5. Why it all has to be so complicated: an example""; ""6.6. -stability and invariants ^{ }( )""; ""6.7. Extension to noncompact Calabi�Yau 3-folds""
""6.8. Configuration operations and extended Donaldsonâ€?Thomas invariants""""Chapter 7. Donaldsonâ€?Thomas theory for quivers with superpotentials""; ""7.1. Introduction to quivers""; ""7.2. Quivers with superpotentials, and 3-Calabiâ€?Yau categories""; ""7.3. Behrend function identities, Lie algebra morphisms, and Donaldsonâ€?Thomas type invariants""; ""7.4. Pair invariants for quivers""; ""7.5. Computing ^{ }_{ , }( ), ^{ }_{ , }( ) in examples""; ""7.6. Integrality of ^{ }_{ }( ) for generic ( ,â??,â©?)""; ""Chapter 8. The proof of Theorem 5.3"" ""Chapter 9. The proofs of Theorems 5.4 and 5.5"" |
Record Nr. | UNINA-9910480646003321 |
Joyce Dominic D.
![]() |
||
Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
A theory of generalized Donaldson-Thomas invariants / / Dominic Joyce, Yinan Song |
Autore | Joyce Dominic D. |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
Descrizione fisica | 1 online resource (199 p.) |
Disciplina | 516.3/52 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Donaldson-Thomas invariants
Calabi-Yau manifolds Sheaf theory |
ISBN | 0-8218-8752-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Chapter 1. Introduction -- 1.1. Brief sketch of background -- 1.2. Behrend functions of schemes and stacks, from chapter 4 -- 1.3. Summary of the main results in chapter 5 -- 1.4. Examples and applications in chapter 6 -- 1.5. Extension to quivers with superpotentials in chapter 7 -- 1.6. Relation to the work of Kontsevich and Soibelman [63] -- Chapter 2. Constructible functions and stack functions -- 2.1. Artin stacks and (locally) constructible functions -- 2.2. Stack functions -- 2.3. Operators and projections -- 2.4. Stack function spaces -- Chapter 3. Background material from [51-54] -- 3.1. Ringel-Hall algebras of an abelian category -- 3.2. (Weak) stability conditions on -- 3.3. Changing stability conditions and algebra identities -- 3.4. Calabi-Yau 3-folds and Lie algebra morphisms -- 3.5. Invariants and transformation laws -- Chapter 4. Behrend functions and Donaldson-Thomas theory -- 4.1. The definition of Behrend functions -- 4.2. Milnor fibres and vanishing cycles -- 4.3. Donaldson-Thomas invariants of Calabi-Yau 3-folds. -- 4.4. Behrend functions and almost closed 1-forms -- 4.5. Characterizing for Calabi-Yau 3-folds -- Chapter 5. Statements of main results -- 5.1. Local description of the moduli of coherent sheaves -- 5.2. Identities on Behrend functions of moduli stacks -- 5.3. A Lie algebra morphism and generalized Donaldson-Thomas invariants -- 5.4. Invariants counting stable pairs, and deformation-invariance -- Chapter 6. Examples, applications, and generalizations. -- 6.1. Computing and in examples 6.2. Integrality properties -- 6.3. Counting dimension zero sheaves -- 6.4. Counting dimension one sheaves -- 6.5. Why it all has to be so complicated: an example -- 6.6. Stability and invariants -- 6.7. Extension to noncompact Calabi-Yau 3-folds -- 6.8. Configuration operations and extended Donaldson-Thomas invariants -- Chapter 7. Donaldson-Thomas theory for quivers with superpotentials -- 7.1. Introduction to quivers -- 7.2. Quivers with superpotentials, and 3-Calabi-Yau categories. -- 7.3. Behrend function identities, Lie algebra morphisms, and Donaldson-Thomas type invariants 7.4. Pair invariants for quivers -- 7.5. Computing in examples -- 7.6. Integrality of for generic -- Chapter 8. The proof of Theorem 5.3 -- Chapter 9. The proofs of Theorems 5.4 and 5.5 -- 9.1. Holomorphic structures on a complex vector bundle -- 9.2. Moduli spaces of analytic vector bundles on -- 9.3. Constructing a good local atlas for near -- 9.4. Moduli spaces of algebraic vector bundles on. -- 9.5. Identifying versal families of holomorphic structures and algebraic vector bundles. |
Record Nr. | UNINA-9910788618203321 |
Joyce Dominic D.
![]() |
||
Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
A theory of generalized Donaldson-Thomas invariants / / Dominic Joyce, Yinan Song |
Autore | Joyce Dominic D. |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
Descrizione fisica | 1 online resource (199 p.) |
Disciplina | 516.3/52 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Donaldson-Thomas invariants
Calabi-Yau manifolds Sheaf theory |
ISBN | 0-8218-8752-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Chapter 1. Introduction -- 1.1. Brief sketch of background -- 1.2. Behrend functions of schemes and stacks, from chapter 4 -- 1.3. Summary of the main results in chapter 5 -- 1.4. Examples and applications in chapter 6 -- 1.5. Extension to quivers with superpotentials in chapter 7 -- 1.6. Relation to the work of Kontsevich and Soibelman [63] -- Chapter 2. Constructible functions and stack functions -- 2.1. Artin stacks and (locally) constructible functions -- 2.2. Stack functions -- 2.3. Operators and projections -- 2.4. Stack function spaces -- Chapter 3. Background material from [51-54] -- 3.1. Ringel-Hall algebras of an abelian category -- 3.2. (Weak) stability conditions on -- 3.3. Changing stability conditions and algebra identities -- 3.4. Calabi-Yau 3-folds and Lie algebra morphisms -- 3.5. Invariants and transformation laws -- Chapter 4. Behrend functions and Donaldson-Thomas theory -- 4.1. The definition of Behrend functions -- 4.2. Milnor fibres and vanishing cycles -- 4.3. Donaldson-Thomas invariants of Calabi-Yau 3-folds. -- 4.4. Behrend functions and almost closed 1-forms -- 4.5. Characterizing for Calabi-Yau 3-folds -- Chapter 5. Statements of main results -- 5.1. Local description of the moduli of coherent sheaves -- 5.2. Identities on Behrend functions of moduli stacks -- 5.3. A Lie algebra morphism and generalized Donaldson-Thomas invariants -- 5.4. Invariants counting stable pairs, and deformation-invariance -- Chapter 6. Examples, applications, and generalizations. -- 6.1. Computing and in examples 6.2. Integrality properties -- 6.3. Counting dimension zero sheaves -- 6.4. Counting dimension one sheaves -- 6.5. Why it all has to be so complicated: an example -- 6.6. Stability and invariants -- 6.7. Extension to noncompact Calabi-Yau 3-folds -- 6.8. Configuration operations and extended Donaldson-Thomas invariants -- Chapter 7. Donaldson-Thomas theory for quivers with superpotentials -- 7.1. Introduction to quivers -- 7.2. Quivers with superpotentials, and 3-Calabi-Yau categories. -- 7.3. Behrend function identities, Lie algebra morphisms, and Donaldson-Thomas type invariants 7.4. Pair invariants for quivers -- 7.5. Computing in examples -- 7.6. Integrality of for generic -- Chapter 8. The proof of Theorem 5.3 -- Chapter 9. The proofs of Theorems 5.4 and 5.5 -- 9.1. Holomorphic structures on a complex vector bundle -- 9.2. Moduli spaces of analytic vector bundles on -- 9.3. Constructing a good local atlas for near -- 9.4. Moduli spaces of algebraic vector bundles on. -- 9.5. Identifying versal families of holomorphic structures and algebraic vector bundles. |
Record Nr. | UNINA-9910828805503321 |
Joyce Dominic D.
![]() |
||
Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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