关于具有 Ulrich 扭曲余法丛的代数簇

Vincenzo Antonelli; Gianfranco Casnati; Angelo Felice Lopez; Debaditya Raychaudhury

关于具有 Ulrich 扭曲余法丛的代数簇

代数几何 2024-06-11 v2

作者: Vincenzo Antonelli , Gianfranco Casnati , Angelo Felice Lopez , Debaditya Raychaudhury

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摘要

我们研究满足 $N_X^*(k)$ 对某个整数 $k$ 是 Ulrich 向量丛的簇 $X \subset P^r$ 。我们首先证明这样的 $X$ 必为曲线。随后给出若干具有 $N_X^*(k)$ 为 Ulrich 向量丛的曲线的例子。

关键词

Ulrich 向量丛余法丛射影簇曲线代数几何

引用

@article{arxiv.2306.00113,
  title  = {On varieties with Ulrich twisted conormal bundles},
  author = {Vincenzo Antonelli and Gianfranco Casnati and Angelo Felice Lopez and Debaditya Raychaudhury},
  journal= {arXiv preprint arXiv:2306.00113},
  year   = {2024}
}

备注

v2: we specified the results that hold in characteristic zero and the ones holding in any characteristic. Thanks to crucial remarks of anonymous referee, we improved Theorem 3(ii) to $g \ge 3$ and we rewrote completely and shortened section 8 by using interpolation techniques

关于具有 Ulrich 扭曲余法丛的代数簇

摘要

关键词

引用

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