支撑在六次曲线上的半稳定平面层分类
代数几何
2015-01-14 v2
摘要
我们对复射影平面上维数为1、重数为6的所有Gieseker半稳定层进行分类。将它们的模空间分解为层，这些层自然地作为某些代数群作用的商出现。在大多数情况下，我们给出了层的具体几何描述。
引用
@article{arxiv.1205.0278,
title = {The classification of semi-stable plane sheaves supported on sextic curves},
author = {Mario Maican},
journal= {arXiv preprint arXiv:1205.0278},
year = {2015}
}
备注
Corrections to the proofs of 3.1.6 and 5.1.6. Contains short versions of my previous three submissions plus the last case of multiplicity six sheaves. To appear in the Kyoto Journal of Mathematics. arXiv admin note: text overlap with arXiv:1109.3918, arXiv:1105.0112, arXiv:1202.0065