论 NC(-2) 的正特征同调

IF 1.2 2区数学 Q1 MATHEMATICS Communications in Contemporary Mathematics Pub Date : 2024-02-14 DOI:10.1142/s0219199723500670

Eric Larson

引用次数: 0

摘要

设 C⊂ℙ3 是一条一般的布里渊-诺特曲线。一个经典问题是确定何时 H0(NC(-2))=0，它控制着 C 的四边形截面。迄今为止，这个问题只在特征为零时得到解决，在这种情况下，H0(NC(-2))=0 有有限多个例外。在本文中，我们将这些结果扩展到正特征，在特征 2 中发现了大量新的例外。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the cohomology of NC(−2) in positive characteristic

Let $C \subset ℙ^{3}$ be a general Brill–Noether curve. A classical problem is to determine when $H^{0} (N_{C} (- 2)) = 0$ , which controls the quadric section of $C$ .

So far this problem has only been solved in characteristic zero, in which case $H^{0} (N_{C} (- 2)) = 0$ with finitely many exceptions. In this paper, we extend these results to positive characteristic, uncovering a wealth of new exceptions in characteristic $2$ .

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来源期刊

Communications in Contemporary Mathematics 数学-数学

CiteScore

2.90

自引率

6.20%

发文量

审稿时长

>12 weeks

期刊介绍： With traditional boundaries between various specialized fields of mathematics becoming less and less visible, Communications in Contemporary Mathematics (CCM) presents the forefront of research in the fields of: Algebra, Analysis, Applied Mathematics, Dynamical Systems, Geometry, Mathematical Physics, Number Theory, Partial Differential Equations and Topology, among others. It provides a forum to stimulate interactions between different areas. Both original research papers and expository articles will be published.

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