判别式为消失的丛的坡半稳定性与正性
代数几何
2023-01-31 v2
摘要
我们给出了一个在任意特征下均成立的代数证明，用于已知的（强）坡半稳定向量丛在判别式消失且行列式消失时与数值平坦丛的等价性。我们还处理了 Misra 的一个相关问题。
引用
@article{arxiv.2112.14929,
title = {Positivity vs. slope semistability for bundles with vanishing discriminant},
author = {Mihai Fulger and Adrian Langer},
journal= {arXiv preprint arXiv:2112.14929},
year = {2023}
}
备注
Second named author added. The main results are extended to arbitrary characteristic. A new counterexample to Misra's question added. An optimistic application of the Mehta-Ramanathan theorem in Corollary 3.2 of the initial submission has been corrected