Fano threefolds and K3 surfaces
代数几何
2007-05-23 v1
摘要
We discuss in this note which K3 surfaces appear as anticanonical divisors in a Fano threefold. We prove in particular that a general K3 surface with given Picard lattice P and polarization class h in P is an anticanonical divisor in a Fano threefold if and only if (P,h) is isomorphic to (Pic(V), c_1(V)) for some Fano threefold V, where Pic(V) is equipped with the intersection product (L,M) --> (L.M.c_1(V)).
引用
@article{arxiv.math/0211313,
title = {Fano threefolds and K3 surfaces},
author = {Arnaud Beauville},
journal= {arXiv preprint arXiv:math/0211313},
year = {2007}
}
备注
Plain TeX, 9 pages