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2. / edited by C. T. C. Wall
2. / edited by C. T. C. Wall
Autore Wall, Charles Terence Clegg
Pubbl/distr/stampa Berlin, : Springer, 1971
Descrizione fisica vi, 282 p. ; 24 cm
Soggetto topico 14E15 - Global theory and resolution of singularities (algebro-geometric aspects) [MSC 2020]
14D05 - Structure of families (Picard-Lefschetz, monodromy, etc.) [MSC 2020]
58A30 - Vector distributions (subbundles of the tangent bundles) [MSC 2020]
34C20 - Transformation and reduction of ordinary differential equations and systems, normal forms [MSC 2020]
58C25 - Differentiable maps on manifolds [MSC 2020]
58A10 - Differential forms in global analysis [MSC 2020]
83Cxx - General relativity [MSC 2020]
53A05 - Surfaces in Euclidean and related space [MSC 2020]
53B25 - Local submanifolds [MSC 2020]
53Cxx - Global differential geometry [MSC 2020]
32B10 - Germs of analytic sets, local parametrization [MSC 2020]
Soggetto non controllato Algebra
Equations
Functions
Geometry
Invariants
Manifolds
Proofs
Singularities
Theorem
Topology
Variables
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN0255358
Wall, Charles Terence Clegg  
Berlin, : Springer, 1971
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
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2. / edited by C. T. C. Wall
2. / edited by C. T. C. Wall
Autore Wall, Charles T. C.
Pubbl/distr/stampa Berlin, : Springer, 1971
Descrizione fisica vi, 282 p. ; 24 cm
Soggetto topico 14D05 - Structure of families (Picard-Lefschetz, monodromy, etc.) [MSC 2020]
14E15 - Global theory and resolution of singularities (algebro-geometric aspects) [MSC 2020]
32B10 - Germs of analytic sets, local parametrization [MSC 2020]
34C20 - Transformation and reduction of ordinary differential equations and systems, normal forms [MSC 2020]
53A05 - Surfaces in Euclidean and related space [MSC 2020]
53B25 - Local submanifolds [MSC 2020]
53Cxx - Global differential geometry [MSC 2020]
58A10 - Differential forms in global analysis [MSC 2020]
58A30 - Vector distributions (subbundles of the tangent bundles) [MSC 2020]
58C25 - Differentiable maps on manifolds [MSC 2020]
83Cxx - General relativity [MSC 2020]
Soggetto non controllato Algebra
Equations
Functions
Geometry
Invariants
Manifolds
Proofs
Singularities
Theorem
Topology
Variables
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN00255358
Wall, Charles T. C.  
Berlin, : Springer, 1971
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
Applied Picard-Lefschetz theory / V. A. Vassiliev
Applied Picard-Lefschetz theory / V. A. Vassiliev
Autore Vassiliev, Victor A.
Pubbl/distr/stampa Providence, : Amercan mathematical society, 2002
Descrizione fisica XI, 324 p. : ill. ; 26 cm.
Soggetto topico 14D05 - Structure of families (Picard-Lefschetz, monodromy, etc.) [MSC 2020]
14B05 - Singularities in algebraic geometry [MSC 2020]
32S40 - Monodromy; relations with differential equations and $D$-modules (complex-analytic aspects) [MSC 2020]
35B60 - Continuation and prolongation of solutions to PDEs [MSC 2020]
31A10 - Integral representations, integral operators, integral equations methods in two dimensions [MSC 2020]
ISBN 978-08-218-2948-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-SUN0097846
Vassiliev, Victor A.  
Providence, : Amercan mathematical society, 2002
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
Applied Picard-Lefschetz theory / V. A. Vassiliev
Applied Picard-Lefschetz theory / V. A. Vassiliev
Autore Vassiliev, Victor A.
Pubbl/distr/stampa Providence, : Amercan mathematical society, 2002
Descrizione fisica XI, 324 p. : ill. ; 26 cm.
Soggetto topico 14D05 - Structure of families (Picard-Lefschetz, monodromy, etc.) [MSC 2020]
14B05 - Singularities in algebraic geometry [MSC 2020]
32S40 - Monodromy; relations with differential equations and $D$-modules (complex-analytic aspects) [MSC 2020]
35B60 - Continuation and prolongation of solutions to PDEs [MSC 2020]
31A10 - Integral representations, integral operators, integral equations methods in two dimensions [MSC 2020]
ISBN 978-08-218-2948-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISOB-VAN0097846
Vassiliev, Victor A.  
Providence, : Amercan mathematical society, 2002
Materiale a stampa
Lo trovi qui: Univ. Suor Orsola Benincasa
Opac: Controlla la disponibilità qui
Applied Picard-Lefschetz theory / V. A. Vassiliev
Applied Picard-Lefschetz theory / V. A. Vassiliev
Autore Vassiliev, Victor A.
Pubbl/distr/stampa Providence, : Amercan mathematical society, 2002
Descrizione fisica XI, 324 p. : ill. ; 26 cm
Soggetto topico 14D05 - Structure of families (Picard-Lefschetz, monodromy, etc.) [MSC 2020]
14B05 - Singularities in algebraic geometry [MSC 2020]
32S40 - Monodromy; relations with differential equations and $D$-modules (complex-analytic aspects) [MSC 2020]
35B60 - Continuation and prolongation of solutions to PDEs [MSC 2020]
31A10 - Integral representations, integral operators, integral equations methods in two dimensions [MSC 2020]
ISBN 978-08-218-2948-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN0097846
Vassiliev, Victor A.  
Providence, : Amercan mathematical society, 2002
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
Applied Picard-Lefschetz theory / V. A. Vassiliev
Applied Picard-Lefschetz theory / V. A. Vassiliev
Autore Vassiliev, Victor A.
Pubbl/distr/stampa Providence, : American mathematical societ, 200
Descrizione fisica XI, 324 p : ill ; 26 c
Soggetto topico 14B05 - Singularities in algebraic geometry [MSC 2020]
14D05 - Structure of families (Picard-Lefschetz, monodromy, etc.) [MSC 2020]
31A10 - Integral representations, integral operators, integral equations methods in two dimensions [MSC 2020]
32S40 - Monodromy; relations with differential equations and $D$-modules (complex-analytic aspects) [MSC 2020]
35B60 - Continuation and prolongation of solutions to PDEs [MSC 2020]
ISBN 978-08-218-2948-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN00097846
Vassiliev, Victor A.  
Providence, : American mathematical societ, 200
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
Equations différentielles à points singuliers réguliers / Pierre Deligne
Equations différentielles à points singuliers réguliers / Pierre Deligne
Autore Deligne, Pierre René
Pubbl/distr/stampa Berlin, : Springer, 1970
Descrizione fisica iii, 136 p. ; 24 cm
Soggetto topico 14-XX - Algebraic geometry [MSC 2020]
58Jxx - Partial differential equations on manifolds; differential operators [MSC 2020]
14D05 - Structure of families (Picard-Lefschetz, monodromy, etc.) [MSC 2020]
14F10 - Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials [MSC 2020]
14B10 - Infinitesimal methods in algebraic geometry [MSC 2020]
Soggetto non controllato Differential equations
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione fre
Record Nr. UNICAMPANIA-VAN0255034
Deligne, Pierre René  
Berlin, : Springer, 1970
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
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Equations différentielles à points singuliers réguliers / Pierre Deligne
Equations différentielles à points singuliers réguliers / Pierre Deligne
Autore Deligne, Pierre R.
Pubbl/distr/stampa Berlin, : Springer, 1970
Descrizione fisica iii, 136 p. ; 24 cm
Soggetto topico 14-XX - Algebraic geometry [MSC 2020]
14B10 - Infinitesimal methods in algebraic geometry [MSC 2020]
14D05 - Structure of families (Picard-Lefschetz, monodromy, etc.) [MSC 2020]
14F10 - Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials [MSC 2020]
58Jxx - Partial differential equations on manifolds; differential operators [MSC 2020]
Soggetto non controllato Differential equations
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione fre
Record Nr. UNICAMPANIA-VAN00255034
Deligne, Pierre R.  
Berlin, : Springer, 1970
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
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Lectures on p-adic Differential Equations / Bernard Dwork
Lectures on p-adic Differential Equations / Bernard Dwork
Autore Dwork, Bernard
Pubbl/distr/stampa New York, : Springer-Verlag, 1982
Descrizione fisica viii, 310 p. : ill. ; 24 cm
Soggetto topico 14-XX - Algebraic geometry [MSC 2020]
12-XX - Field theory and polynomials [MSC 2020]
14D05 - Structure of families (Picard-Lefschetz, monodromy, etc.) [MSC 2020]
34-XX - Ordinary differential equations [MSC 2020]
14G10 - Zeta-functions and related questions (Birch-Swinnerton-Dyer conjecture) [MSC 2020]
12H25 - p-adic differential equations [MSC 2020]
14G20 - Local ground fields in algebraic geometry [MSC 2020]
35A30 - Geometric theory, characteristics, transformations in context of PDEs [MSC 2020]
14K15 - Arithmetic ground fields for abelian varieties [MSC 2020]
34G10 - Linear differential equations in abstract spaces [MSC 2020]
14F30 - $p$-adic cohomology, crystalline cohomology [MSC 2020]
11S80 - Other analytic theory (analogues of beta and gamma functions, $p$-adic integration, etc.) [MSC 2020]
14H25 - Arithmetic ground fields for curves [MSC 2020]
Soggetto non controllato $p$-adic analysis
Differential equations
Equations
Hypergeometric differential equations
Logarithms
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN0268530
Dwork, Bernard  
New York, : Springer-Verlag, 1982
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
Lectures on p-adic Differential Equations / Bernard Dwork
Lectures on p-adic Differential Equations / Bernard Dwork
Autore Dwork, Bernard
Pubbl/distr/stampa New York, : Springer-Verlag, 1982
Descrizione fisica viii, 310 p. : ill. ; 24 cm
Soggetto topico 11S80 - Other analytic theory (analogues of beta and gamma functions, $p$-adic integration, etc.) [MSC 2020]
12-XX - Field theory and polynomials [MSC 2020]
12H25 - p-adic differential equations [MSC 2020]
14-XX - Algebraic geometry [MSC 2020]
14D05 - Structure of families (Picard-Lefschetz, monodromy, etc.) [MSC 2020]
14F30 - $p$-adic cohomology, crystalline cohomology [MSC 2020]
14G10 - Zeta-functions and related questions (Birch-Swinnerton-Dyer conjecture) [MSC 2020]
14G20 - Local ground fields in algebraic geometry [MSC 2020]
14H25 - Arithmetic ground fields for curves [MSC 2020]
14K15 - Arithmetic ground fields for abelian varieties [MSC 2020]
34-XX - Ordinary differential equations [MSC 2020]
34G10 - Linear differential equations in abstract spaces [MSC 2020]
35A30 - Geometric theory, characteristics, transformations in context of PDEs [MSC 2020]
Soggetto non controllato $p$-adic analysis
Differential equations
Equations
Hypergeometric differential equations
Logarithms
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto The present work treats p-adic properties of solutions of the hypergeometric differential equation d2 d ~ ( x(l - x) dx + (c(l - x) + (c - 1 - a - b)x) dx - ab)y = 0, 2 with a, b, c in 4) n Zp, by constructing the associated Frobenius structure. For this construction we draw upon the methods of Alan Adolphson [1] in his 1976 work on Hecke polynomials. We are also indebted to him for the account (appearing as an appendix) of the relation between this differential equation and certain L-functions. We are indebted to G. Washnitzer for the method used in the construction of our dual theory (Chapter 2). These notes represent an expanded form of lectures given at the U. L. P. in Strasbourg during the fall term of 1980. We take this opportunity to thank Professor R. Girard and IRMA for their hospitality. Our subject-p-adic analysis-was founded by Marc Krasner. We take pleasure in dedicating this work to him. Contents 1 Introduction . . . . . . . . . . 1. The Space L (Algebraic Theory) 8 2. Dual Theory (Algebraic) 14 3. Transcendental Theory . . . . 33 4. Analytic Dual Theory. . . . . 48 5. Basic Properties of", Operator. 73 6. Calculation Modulo p of the Matrix of ~ f,h 92 7. Hasse Invariants . . . . . . 108 8. The a --+ a' Map . . . . . . . . . . . . 110 9. Normalized Solution Matrix. . . . . .. 113 10. Nilpotent Second-Order Linear Differential Equations with Fuchsian Singularities. . . . . . . . . . . . . 137 11. Second-Order Linear Differential Equations Modulo Powers ofp ..... .
Record Nr. UNICAMPANIA-VAN00268530
Dwork, Bernard  
New York, : Springer-Verlag, 1982
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui