Quadratic residue patterns and point counting on K3 surfaces

Autor:	Kiritchenko, Valentina, Tsfasman, Mikhail, Vladuts, Serge, Zakharevich, Ilya
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry Mathematics - Number Theory 11A15 (Primary) 14A15 (Secondary) 01A55 01A60 (Secondary)
Druh dokumentu:	Working Paper
Popis:	Quadratic residue patterns modulo a prime are studied since 19th century. We state the last unpublished result of Lydia Goncharova, reformulate it and prior results in terms of algebraic geometry, and prove it. The core of this theorem is an unexpected relation between the number of points on a K3 surface and that on a CM elliptic curve. Comment: 9 pages, highly preliminary
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.03270 Zobrazit plný text záznamu View this record from Arxiv