法诺和弱法诺黑森伯格品种

IF 0.8 3区数学 Q2 MATHEMATICS

Michigan Mathematical Journal Pub Date : 2020-03-27 DOI:10.1307/mmj/20205971

Hiraku Abe, Naoki Fujita, Haozhi Zeng

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引用次数: 1

摘要

正则半单Hessenberg变异体是旗变异体的光滑亚变异体，其实例包括旗变异体本身和环变异体。用Hessenberg函数的组合学给出了a型的Fano和弱Fano正则半单Hessenberg变分的完全分类。特别地，我们证明了如果正则半简单Hessenberg变的反正则束是nef，那么它实际上是nef且大的。

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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Fano and Weak Fano Hessenberg Varieties

Regular semisimple Hessenberg varieties are smooth subvarieties of the flag variety, and their examples contain the flag variety itself and the permutohedral variety which is a toric variety. We give a complete classification of Fano and weak Fano regular semisimple Hessenberg varieties in type A in terms of combinatorics of Hessenberg functions. In particular, we show that if the anti-canonical bundle of a regular semisimple Hessenberg variety is nef, then it is in fact nef and big.

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来源期刊

Michigan Mathematical Journal 数学-数学

CiteScore

1.20

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Michigan Mathematical Journal is available electronically through the Project Euclid web site. The electronic version is available free to all paid subscribers. The Journal must receive from institutional subscribers a list of Internet Protocol Addresses in order for members of their institutions to have access to the online version of the Journal.