04222nam 2200565 450 991078863690332120220824044729.00-8218-8989-3(CKB)3240000000070095(EBL)3113357(SSID)ssj0000700794(PQKBManifestationID)11399965(PQKBTitleCode)TC0000700794(PQKBWorkID)10671654(PQKB)10153006(MiAaPQ)EBC3113357(RPAM)17243572(PPN)197102158(EXLCZ)99324000000007009520120405h20122012 uy| 0engur|n|---|||||txtccrComputational 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, editorsProvidence, Rhode Island :American Mathematical Society,[2012]©20121 online resource (242 p.)Contemporary mathematics,5720271-4132Description based upon print version of record.0-8218-6869-1 Includes bibliographical references.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.Contemporary mathematics (American Mathematical Society).5720271-4132Curves, AlgebraicData processingCongressesRiemann surfacesCongressesCurves, AlgebraicData processingRiemann surfaces512/.514HXX30FXX68WXXmscSeppälä MikaVolcheck Emil1966-MiAaPQMiAaPQMiAaPQBOOK9910788636903321Computational algebraic and analytic geometry264762UNINA