计算2次K3曲面几何Picard格的一个实用算法
代数几何
2018-10-09 v3
摘要
设为上的数域或具有有限个变量的函数域。我们给出一个实用算法，用于计算上2次K3曲面（即上射影平面在一条光滑六次曲线上分歧的双覆盖）的几何Picard格。该算法可能不终止，但若终止则返回经证明正确的结果。
引用
@article{arxiv.1808.00351,
title = {A practical algorithm to compute the geometric Picard lattice of K3 surfaces of degree $2$},
author = {Dino Festi},
journal= {arXiv preprint arXiv:1808.00351},
year = {2018}
}
备注
A remark about an application of the algorithm to quartc surfaces with a node. Proposition 5.1 corrected. Acknowledgements and bibliography updated. Few typos corrected. 14 pages, 1 figure. Comments still welcome!