算术曲面上的留数及其对偶化层的显式方法
数论
2011-01-17 v2 代数几何
摘要
我们发展了算术曲面上的留数理论，建立了围绕一个点的互反律，并利用留数映射显式构造了曲面的对偶化层。这些是对完美域上曲面已知结果的推广。在附录中，利用显式局部分歧理论恢复了在局部完全交情形下对偶化层与典范层一致的事实。
引用
@article{arxiv.0911.0590,
title = {An explicit approach to residues on and dualizing sheaves of arithmetic surfaces},
author = {Matthew Morrow},
journal= {arXiv preprint arXiv:0911.0590},
year = {2011}
}
备注
This is an update and correction to an earlier version of the paper, entitled "An explicit approach to residues on and canonical sheaves of arithmetic surfaces"; an erroneous lemma (lemma 5.4) in the earlier version necessitated restructuring of the paper, though the main results are largely unchanged