$\bar{M}_{0,n}$ 上共形块除子的非消失性
代数几何
2014-10-23 v2 量子代数
表示论
摘要
我们引入并研究了寻找 上共形块除子非零的充要条件这一问题。我们给出了 A 型情形下的必要条件，当 theta 能级与临界能级重合时，这些条件也是充分的。我们证明了除子服从依赖于底层束秩的加法恒等式。这些恒等式增强了消失与非消失的结果，并具有其他应用。
引用
@article{arxiv.1410.2459,
title = {Nonvanishing of conformal blocks divisors on $\bar{M}_{0,n}$},
author = {Prakash Belkale and Angela Gibney and Swarnava Mukhopadhyay},
journal= {arXiv preprint arXiv:1410.2459},
year = {2014}
}
备注
arXiv:1308.4906 has been broken up into two parts: p1: "Vanishing and identities of conformal blocks divisors" (Algebraic Geometry to appear) replaces arXiv:1308.4906. The present upload is p2: "Nonvanishing of conformal blocks divisors on $\bar{M}_{0,n}$". In v2, added Lemma 3.7 and removed an incorrect use of zeroth Chern class in Introduction