模空间层函子式构造
代数几何
2009-11-11 v2
摘要
我们展示了从射影概形上凝聚层范畴到 Kronecker 模范畴的自然函子如何被用于构造半稳定层的模空间。该构造简化或澄清了已有构造中的技术细节，并给出了 theta 函数新的更简定义，关于它们可证明更完备的结果。
引用
@article{arxiv.math/0602032,
title = {A functorial construction of moduli of sheaves},
author = {Luis Álvarez-Cónsul and Alastair King},
journal= {arXiv preprint arXiv:math/0602032},
year = {2009}
}
备注
52 pp. Dedicated to the memory of Joseph Le Potier. To appear in Inventiones Mathematicae. Slight change in the definition of the Kronecker algebra in Secs 1 (p3) and 2.2 (p6), with corresponding small alterations elsewhere, to make the constructions work for non-reduced schemes. Section 6.5 rewritten. Remark 2.6 and new references added