通用平面曲线与一维凝聚层的模空间
代数几何
2014-01-09 v3
摘要
我们证明，固定次数d > 2的通用平面曲线M可以看作是射影平面上包含在稳定轨迹中的一维层的一个特定辛普森模空间中的闭子簇。通用奇异轨迹与M中由在其支撑上非局部自由的层组成的子簇重合。结果表明，沿M'对M的爆破可以自然地看作是M_B = M\M'通过向量丛（在支撑上）的紧化。
引用
@article{arxiv.1103.1485,
title = {Universal plane curve and moduli spaces of 1-dimensional coherent sheaves},
author = {Oleksandr Iena},
journal= {arXiv preprint arXiv:1103.1485},
year = {2014}
}
备注
Added references, some typos corrected. Incorporated referee's suggestions. A similar version of the paper has been accepted to Communications in Algebra