论文标题
Fano和Fano Hesenberg品种
Fano and weak Fano Hessenberg varieties
论文作者
论文摘要
常规的半圣赫森伯格品种是旗帜品种的平滑亚变化，它们的示例包含旗帜品种本身和固定体品种，这是一种复曲面的品种。我们在Hessenberg功能的组合方面对FANO和FANO的常规半岛赫森伯格品种进行了完整的分类。特别是，我们表明，如果常规半神经赫森伯格品种的反典型捆绑包是nef的，那么实际上它是nef and Big and Big。
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.
