两点prim - brill - noether轨迹和耦合prim - petri定理

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematische Nachrichten Pub Date : 2025-02-18 DOI:10.1002/mana.202300581

Minyoung Jeon

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引用次数: 0

摘要

我们建立了两点特殊消失的两点Prym-Brill-Noether轨迹，并在维数达到预期时确定了它们的k理论类。这些类是通过应用d型中某些涡状退化位点的k理论公式推导出来的。特别地，我们给出了在一般情况下期望维数的两个点版本的prim - petri定理，并给出了一个耦合的prim - petri映射。我们的方法受到了Tarasca关于点案例的工作的启发，我们推广了De Concini-Pragacz和Welters的非点案例。

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Two-pointed Prym–Brill–Noether loci and coupled Prym–Petri theorem

We establish two-pointed Prym–Brill–Noether loci with special vanishing at two points, and determine their K-theory classes when the dimensions are as expected. The classes are derived by the applications of a formula for the K-theory of certain vexillary degeneracy loci in type D. In particular, we show a two-pointed version of the Prym–Petri theorem on the expected dimension in the general case, with a coupled Prym–Petri map. Our approach is inspired by the work on pointed cases by Tarasca, and we generalize unpointed cases by De Concini-Pragacz and Welters.

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来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index