Integrable Systems and Algebraic Geometry: Volume 2

ISBN-13: 9781108715775 / Angielski / Miękka / 2020 / 536 str.

Ron Donagi; Tony Shaska

Opis

A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.

Spis treści

Algebraic geometry: a celebration of Emma Previato's 65th birthday Ron Donagi and Tony Shaska; 1. Arithmetic analogues of Hamiltonian systems Alexandru Buium; 2. Algebraic spectral curves over Q and their tau-functions Boris Dubrovin; 3. Frobenius split anticanonical divisors Sándor J. Kovács; 4. Halves of points of an odd degree hyperelliptic curve in its jacobian Yuri G. Zarhin; 5. Normal forms for Kummer surfaces Adrian Clingher and Andreas Malmendier; 6. σ-functions: old and new results V. M. Buchstaber, V. Z. Enolski and D. V. Leykin; 7. Bergman tau-function: from Einstein equations and Dubrovin–Frobenius manifolds to geometry of moduli spaces Dmitry Korotkin; 8. The rigid body dynamics in an ideal fluid: Clebsch top and Kummer surfaces Jean-Pierre Françoise and Daisuke Tarama; 9. An extension of Delsarte, Goethals and Mac Williams theorem on minimal weight codewords to a class of Reed–Muller type codes Cícero Carvalho and Victor G. L. Neumann; 10. A primer on Lax pairs L. M. Bates and R. C. Churchill; 11. Lattice-theoretic characterizations of classes of groups Roland Schmidt; 12. Jacobi inversion formulae for a curve in Weierstrass normal form Jiyro Komeda and Shigeki Matsutani; 13. Spectral construction of non-holomorphic Eisenstein-type series and their Kronecker limit formula James Cogdell, Jay Jorgenson and Lejla Smajlović; 14. Some topological applications of theta functions Mauro Spera; 15. Multiple Dedekind zeta values are periods of mixed Tate motives Ivan Horozov; 16. Noncommutative cross-ratio and Schwarz derivative Vladimir Retakh, Vladimir Rubtsov and Georgy Sharygin.