Classification of irregular varieties : minimal models and abelian varieties ; proceedings of a conference, held in Trento, Italy, 17 - 21 December, 1990 / / Edoardo Ballico, Fabrizio Catanese, Ciro Ciliberto |
Autore | Ballico E (Edoardo), <1955-, > |
Edizione | [1st ed. 1992.] |
Pubbl/distr/stampa | Berlin : , : Springer, , [1992] |
Descrizione fisica | 1 online resource (VIII, 156 p.) |
Disciplina | 516.352 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Curves, Algebraic - Data processing
Geometry, Algebraic |
ISBN | 3-540-47016-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Projective manifolds containing large linear subspaces -- Algebraic cohomology classes on some special threefolds -- Norm-endomorphisms of abelian subvarieties -- On the jacobian of a hyperplane section of a surface -- On the endomorphisms of Jac(W1 d(C)) when p=1 and C has general moduli -- Projective models of Picard modular varieties -- Rational curves on Fano varieties -- Modular forms of the fourth degree -- Equivariant Grothendieck groups and equivariant Chow groups -- Trento examples -- Open problems. |
Record Nr. | UNISA-996466624003316 |
Ballico E (Edoardo), <1955-, > | ||
Berlin : , : Springer, , [1992] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
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Computational algebraic and analytic geometry : AMS special sessions on computational algebraic and analytic geometry for low-dimensional varieties, January 8, 2007, New Orleans, LA, January 6, 2009, Washington, DC, January 6, 2011, New Orleans, LA / / Mika Seppala, Emil Volcheck, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2012] |
Descrizione fisica | 1 online resource (242 p.) |
Disciplina | 512/.5 |
Collana | Contemporary mathematics |
Soggetto topico |
Curves, Algebraic - Data processing
Riemann surfaces |
Soggetto genere / forma | Electronic books. |
ISBN | 0-8218-8989-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Preface""; ""Large hyperbolic polygons and hyperelliptic Riemann surfaces""; ""1. Hyperbolic Polygons""; ""2. Closing large polygons""; ""3. Groups from Polygons""; ""4. Reduction Algorithms on Polygons""; ""References""; ""On isolated strata of pentagonal Riemann surfaces in the branch locus of moduli spaces""; ""1. Introduction""; ""2. Riemann surfaces and Fuchsian groups""; ""3. Disconnectedness by pentagonal Riemann surfaces""; ""References""; ""Finite group actions of large order on compact bordered surfaces""; ""1. Introduction""; ""2. Preliminaries""
""1. Introduction""""2. Border bases for homogeneous ideals""; ""3. Curves given by points""; ""4. Curves in â??â?¿(â??) given by approximate points""; ""5. Degree bounds for ideal generators""; ""Acknowledgments""; ""References""; ""Non-genera of curves with automorphisms in characteristic ""; ""1. Introduction""; ""2. Non-genera for â??/ â??-actions""; ""3. -ranks""; ""References""; ""Numerical Schottky uniformizations of certain cyclic L-gonal curves""; ""1. Introduction""; ""2. Preliminaries""; ""3. Basic facts on Whittaker groups""; ""4. Basic objects"" ""5. The generalized Myrbergâ€?s algorithm""""6. Application to algebraic curves""; ""Acknowledgements""; ""References""; ""Generalized lantern relations and planar line arrangements""; ""1. Introduction""; ""2. Real line arrangements and relations on Dehn twists""; ""3. Applications""; ""References""; ""Effective -adic cohomology for cyclic cubic threefolds""; ""1. Zeta functions: generalities""; ""2. Algebraic de Rham cohomology""; ""3. de Rham cohomology and -adic cohomology""; ""4. The direct method for cyclic cubic threefolds""; ""5. Picard-Fuchs-Manin connections"" ""6. The deformation method for cyclic cubic threefolds""""Appendix A. Notes and further reading""; ""References""; ""Generating sets of affine groups of low genus""; ""1. Introduction""; ""2. The Algorithm""; ""3. Genus Zero Systems and the Guralnick-Thompson Conjecture""; ""References""; ""Classification of algebraic ODEs with respect to rational solvability""; ""1. Introduction""; ""2. Preliminaries""; ""3. A group of affine linear transformations""; ""4. Solvable AODEs and their associated systems""; ""5. Parametrizable ODEs with special geometric shapes""; ""6. Conclusion"" ""References"" |
Record Nr. | UNINA-9910480126703321 |
Providence, Rhode Island : , : American Mathematical Society, , [2012] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Computational algebraic and analytic geometry : AMS special sessions on computational algebraic and analytic geometry for low-dimensional varieties, January 8, 2007, New Orleans, LA, January 6, 2009, Washington, DC, January 6, 2011, New Orleans, LA / / Mika Seppala, Emil Volcheck, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2012] |
Descrizione fisica | 1 online resource (242 p.) |
Disciplina | 512/.5 |
Collana | Contemporary mathematics |
Soggetto topico |
Curves, Algebraic - Data processing
Riemann surfaces |
ISBN | 0-8218-8989-3 |
Classificazione | 14HXX30FXX68WXX |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface -- Large hyperbolic polygons and hyperelliptic Riemann surfaces -- 1. Hyperbolic Polygons -- 2. Closing large polygons -- 3. Groups from Polygons -- 4. Reduction Algorithms on Polygons -- References -- On isolated strata of pentagonal Riemann surfaces in the branch locus of moduli spaces -- 1. Introduction -- 2. Riemann surfaces and Fuchsian groups -- 3. Disconnectedness by pentagonal Riemann surfaces -- References -- Finite group actions of large order on compact bordered surfaces -- 1. Introduction -- 2. Preliminaries -- 1. Introduction -- 2. Border bases for homogeneous ideals -- 3. Curves given by points -- 4. Curves in X given by approximate points -- 5. Degree bounds for ideal generators -- Acknowledgments -- References -- Non-genera of curves with automorphisms in characteristic -- 1. Introduction -- 2. Non-genera for -actions -- 3. -ranks -- References -- Numerical Schottky uniformizations of certain cyclic L-gonal curves -- 1. Introduction -- 2. Preliminaries -- 3. Basic facts on Whittaker groups -- 4. Basic objects -- 5. The generalized Myrberg's algorithm -- 6. Application to algebraic curves -- Acknowledgements -- References -- Generalized lantern relations and planar line arrangements -- 1. Introduction -- 2. Real line arrangements and relations on Dehn twists -- 3. Applications -- References -- Effective -adic cohomology for cyclic cubic threefolds -- 1. Zeta functions: generalities -- 2. Algebraic de Rham cohomology -- 3. de Rham cohomology and -adic cohomology -- 4. The direct method for cyclic cubic threefolds -- 5. Picard-Fuchs-Manin connections -- 6. The deformation method for cyclic cubic threefolds -- Appendix A. Notes and further reading -- References -- Generating sets of affine groups of low genus -- 1. Introduction -- 2. The Algorithm -- 3. Genus Zero Systems and the Guralnick-Thompson Conjecture -- References -- Classification of algebraic ODEs with respect to rational solvability -- 1. Introduction -- 2. Preliminaries -- 3. A group of affine linear transformations -- 4. Solvable AODEs and their associated systems -- 5. Parametrizable ODEs with special geometric shapes -- 6. Conclusion -- References. |
Record Nr. | UNINA-9910788636903321 |
Providence, Rhode Island : , : American Mathematical Society, , [2012] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Computational algebraic and analytic geometry : AMS special sessions on computational algebraic and analytic geometry for low-dimensional varieties, January 8, 2007, New Orleans, LA, January 6, 2009, Washington, DC, January 6, 2011, New Orleans, LA / / Mika Seppala, Emil Volcheck, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2012] |
Descrizione fisica | 1 online resource (242 p.) |
Disciplina | 512/.5 |
Collana | Contemporary mathematics |
Soggetto topico |
Curves, Algebraic - Data processing
Riemann surfaces |
ISBN | 0-8218-8989-3 |
Classificazione | 14HXX30FXX68WXX |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface -- Large hyperbolic polygons and hyperelliptic Riemann surfaces -- 1. Hyperbolic Polygons -- 2. Closing large polygons -- 3. Groups from Polygons -- 4. Reduction Algorithms on Polygons -- References -- On isolated strata of pentagonal Riemann surfaces in the branch locus of moduli spaces -- 1. Introduction -- 2. Riemann surfaces and Fuchsian groups -- 3. Disconnectedness by pentagonal Riemann surfaces -- References -- Finite group actions of large order on compact bordered surfaces -- 1. Introduction -- 2. Preliminaries -- 1. Introduction -- 2. Border bases for homogeneous ideals -- 3. Curves given by points -- 4. Curves in X given by approximate points -- 5. Degree bounds for ideal generators -- Acknowledgments -- References -- Non-genera of curves with automorphisms in characteristic -- 1. Introduction -- 2. Non-genera for -actions -- 3. -ranks -- References -- Numerical Schottky uniformizations of certain cyclic L-gonal curves -- 1. Introduction -- 2. Preliminaries -- 3. Basic facts on Whittaker groups -- 4. Basic objects -- 5. The generalized Myrberg's algorithm -- 6. Application to algebraic curves -- Acknowledgements -- References -- Generalized lantern relations and planar line arrangements -- 1. Introduction -- 2. Real line arrangements and relations on Dehn twists -- 3. Applications -- References -- Effective -adic cohomology for cyclic cubic threefolds -- 1. Zeta functions: generalities -- 2. Algebraic de Rham cohomology -- 3. de Rham cohomology and -adic cohomology -- 4. The direct method for cyclic cubic threefolds -- 5. Picard-Fuchs-Manin connections -- 6. The deformation method for cyclic cubic threefolds -- Appendix A. Notes and further reading -- References -- Generating sets of affine groups of low genus -- 1. Introduction -- 2. The Algorithm -- 3. Genus Zero Systems and the Guralnick-Thompson Conjecture -- References -- Classification of algebraic ODEs with respect to rational solvability -- 1. Introduction -- 2. Preliminaries -- 3. A group of affine linear transformations -- 4. Solvable AODEs and their associated systems -- 5. Parametrizable ODEs with special geometric shapes -- 6. Conclusion -- References. |
Record Nr. | UNINA-9910821354103321 |
Providence, Rhode Island : , : American Mathematical Society, , [2012] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Mirzakhani's curve counting and geodesic currents / / Viveka Erlandsson, Juan Souto, and Hugo Parlier |
Autore | Erlandsson Viveka |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer International Publishing, , [2022] |
Descrizione fisica | 1 online resource (233 pages) |
Disciplina | 516.352 |
Collana | Progress in Mathematics |
Soggetto topico |
Curves, Algebraic
Curves, Algebraic - Data processing Corbes Corbes algebraiques |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-031-08705-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface -- Acknowledgments -- Contents -- Notation -- 1 Introduction -- Some Things that the Reader Will Not Find in This Book -- What the Reader Will Find Here -- A Comment on the Way This Book Is Written -- 2 Read Me -- Curves, Multicurves, and Arcs -- Intersection Number -- Geodesic Representatives -- Random Geodesics. Or Length Versus Intersections -- Space of Geodesics -- Geodesics Projecting into a Fixed Compact Set -- Laminations -- Hausdorff Limits -- Mapping Class Group -- Shortening Curves -- 3 Geodesic Currents -- Definition and Examples -- Curves as Currents -- Weighted Multicurves -- Measured Laminations -- The Space of Geodesic Currents -- Interesting Subsets of C(Σ) -- Intersection Form -- Characterization of Measured Laminations -- Filling Currents -- The Mapping Class Group Action -- Mapping Class Group Action on the Set of Filling Currents -- Comments (The Liouville Current) -- 4 Train Tracks -- Train Tracks as Smoothly Embedded Complexes -- Almost Geodesic Train Tracks -- Band Complexes and Train Tracks -- Curves and Laminations Carried by Train Tracks -- Weights and Recurrence -- Switch Equations -- Thurston Measure -- First Counting Result -- Masur's Ergodicity Theorem -- An Example: The Case of the Once Punctured Torus -- Comments -- Piecewise Linear Structure -- Symplectic Structure -- Weil-Petersson Volume Form -- Other Interesting Measures on ML(S) -- 5 Radallas -- Terminology -- The Game of Cars -- Almost Geodesic Radallas -- Finding Almost Geodesic Radallas -- Generic Curves -- Comments: Expected Angle of Self-Intersection -- 6 Subconvergence of Measures -- Idea of the Proof of Theorem 6.1 -- Local Map -- Global Map -- New Measures -- Comments -- 7 Approximating the Thurston Measure -- Dribbling -- Radallas Carrying the Curves in Θσ0 -- Reducing to a Linear Algebra Problem -- Proof of Proposition 7.2.
Comments -- 8 The Main Theorem -- Notation and the Constants -- The Theorem -- The Fundamental Domain -- The Meat -- The Not Ker-Invariant Case -- Comments -- 9 Counting Curves -- Main Curve Counting Theorem -- Frequencies and Relative Frequencies -- Functions on the Space of Currents -- 10 Counting Square-Tiled Surfaces -- Square-Tiled Surfaces -- Recovering Square-Tiled Surface Structures from Multicurves -- Square-Tiled Surfaces of Given Type -- Counting -- Comments -- 11 Statistics of Simple Curves -- Credit to Kasra -- Hard Data -- A Formula for c(α0) for Simple Curves -- Punctured Spheres -- Separating Curves in Closed Surfaces -- Non-Separating Curves in Closed Surfaces -- Combinatorial Computation -- Changing Weights -- Comments -- 12 Smörgåsbord -- Random Pants Decompositions -- Lattice Point Counting in Teichmüller Space -- Genericty of pseudo-Anosov Elements -- A Radon Measures -- Point-Set Topology -- Weak-*-Topology -- Sequential Compactness -- B Computing Thurston Volumes -- Punctured Spheres -- Separating Curves in Closed Surfaces -- Non-separating Curves in Closed Surfaces -- References -- Index. |
Record Nr. | UNISA-996490345903316 |
Erlandsson Viveka | ||
Cham, Switzerland : , : Springer International Publishing, , [2022] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Mirzakhani's curve counting and geodesic currents / / Viveka Erlandsson, Juan Souto, and Hugo Parlier |
Autore | Erlandsson Viveka |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer International Publishing, , [2022] |
Descrizione fisica | 1 online resource (233 pages) |
Disciplina | 516.352 |
Collana | Progress in Mathematics |
Soggetto topico |
Curves, Algebraic
Curves, Algebraic - Data processing Corbes Corbes algebraiques |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-031-08705-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface -- Acknowledgments -- Contents -- Notation -- 1 Introduction -- Some Things that the Reader Will Not Find in This Book -- What the Reader Will Find Here -- A Comment on the Way This Book Is Written -- 2 Read Me -- Curves, Multicurves, and Arcs -- Intersection Number -- Geodesic Representatives -- Random Geodesics. Or Length Versus Intersections -- Space of Geodesics -- Geodesics Projecting into a Fixed Compact Set -- Laminations -- Hausdorff Limits -- Mapping Class Group -- Shortening Curves -- 3 Geodesic Currents -- Definition and Examples -- Curves as Currents -- Weighted Multicurves -- Measured Laminations -- The Space of Geodesic Currents -- Interesting Subsets of C(Σ) -- Intersection Form -- Characterization of Measured Laminations -- Filling Currents -- The Mapping Class Group Action -- Mapping Class Group Action on the Set of Filling Currents -- Comments (The Liouville Current) -- 4 Train Tracks -- Train Tracks as Smoothly Embedded Complexes -- Almost Geodesic Train Tracks -- Band Complexes and Train Tracks -- Curves and Laminations Carried by Train Tracks -- Weights and Recurrence -- Switch Equations -- Thurston Measure -- First Counting Result -- Masur's Ergodicity Theorem -- An Example: The Case of the Once Punctured Torus -- Comments -- Piecewise Linear Structure -- Symplectic Structure -- Weil-Petersson Volume Form -- Other Interesting Measures on ML(S) -- 5 Radallas -- Terminology -- The Game of Cars -- Almost Geodesic Radallas -- Finding Almost Geodesic Radallas -- Generic Curves -- Comments: Expected Angle of Self-Intersection -- 6 Subconvergence of Measures -- Idea of the Proof of Theorem 6.1 -- Local Map -- Global Map -- New Measures -- Comments -- 7 Approximating the Thurston Measure -- Dribbling -- Radallas Carrying the Curves in Θσ0 -- Reducing to a Linear Algebra Problem -- Proof of Proposition 7.2.
Comments -- 8 The Main Theorem -- Notation and the Constants -- The Theorem -- The Fundamental Domain -- The Meat -- The Not Ker-Invariant Case -- Comments -- 9 Counting Curves -- Main Curve Counting Theorem -- Frequencies and Relative Frequencies -- Functions on the Space of Currents -- 10 Counting Square-Tiled Surfaces -- Square-Tiled Surfaces -- Recovering Square-Tiled Surface Structures from Multicurves -- Square-Tiled Surfaces of Given Type -- Counting -- Comments -- 11 Statistics of Simple Curves -- Credit to Kasra -- Hard Data -- A Formula for c(α0) for Simple Curves -- Punctured Spheres -- Separating Curves in Closed Surfaces -- Non-Separating Curves in Closed Surfaces -- Combinatorial Computation -- Changing Weights -- Comments -- 12 Smörgåsbord -- Random Pants Decompositions -- Lattice Point Counting in Teichmüller Space -- Genericty of pseudo-Anosov Elements -- A Radon Measures -- Point-Set Topology -- Weak-*-Topology -- Sequential Compactness -- B Computing Thurston Volumes -- Punctured Spheres -- Separating Curves in Closed Surfaces -- Non-separating Curves in Closed Surfaces -- References -- Index. |
Record Nr. | UNINA-9910595045203321 |
Erlandsson Viveka | ||
Cham, Switzerland : , : Springer International Publishing, , [2022] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|