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

• Record Nr.: UNINA9910480126703321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [2012]; ©2012
• ISBN: 0-8218-8989-3
• Descrizione fisica: 1 online resource (242 p.)
• Collana: Contemporary mathematics ; ; volume 572
• Disciplina: 512/.5
• Soggetti: Curves, Algebraic - Data processing; Riemann surfaces; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• 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""