Constructing low degree hyperbolic surfaces in P^3
代数几何
2007-05-23 v1 复变函数
摘要
We describe a new method of constructing Kobayashi-hyperbolic surfaces in complex projective 3-space based on deforming surfaces with a "hyperbolic non-percolation" property. We use this method to show that general small deformations of certain singular abelian surfaces of degree 8 are hyperbolic. We also show that a union of 15 planes in general position in projective 3-space admits hyperbolic deformations.
引用
@article{arxiv.math/0202266,
title = {Constructing low degree hyperbolic surfaces in P^3},
author = {Bernard Shiffman and Mikhail Zaidenberg},
journal= {arXiv preprint arXiv:math/0202266},
year = {2007}
}
备注
9 pages, to appear in Chern issue of Houston J. Math