Automorphs of indefinite binary quadratic forms and K3-surfaces with Picard number 2
Algebraic Geometry
2008-04-07 v1
Abstract
Every indefinite binary form occurs as the Picard lattice of some K3-surface. The group of its isometries, or automorphs, coincides with the automorphism group of the K3-surface, but only up to finite groups. The classical theory of automorphs for binary forms can then be applied to study these automorphism groups. The result is a precise description of all possible automorphism groups of ``general'' K3's with Picard number two.
Keywords
Cite
@article{arxiv.0804.0725,
title = {Automorphs of indefinite binary quadratic forms and K3-surfaces with Picard number 2},
author = {Federica Galluzzi and Giuseppe Lombardo and Chris Peters},
journal= {arXiv preprint arXiv:0804.0725},
year = {2008}
}