光滑Fano加权完全交的界

IF 1.2 3区数学 Q1 MATHEMATICS

Communications in Number Theory and Physics Pub Date : 2016-11-29 DOI:10.4310/CNTP.2020.V14.N3.A3

V. Przyjalkowski, C. Shramov

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引用次数: 21

摘要

证明了一个具有非正正则类的光滑变种可以作为良构完全交嵌入到维数为$n$的加权射影空间中，且该光滑变种不与其中的线性锥相交，则该加权射影空间的权值不超过$n+1$。在此基础上对维$4$和维$5$的所有光滑Fano完全交进行了分类，并计算了它们的不变量。

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Bounds for smooth Fano weighted complete intersections

We prove that if a smooth variety with non-positive canonical class can be embedded into a weighted projective space of dimension $n$ as a well formed complete intersection and it is not an intersection with a linear cone therein, then the weights of the weighted projective space do not exceed $n+1$. Based on this bound we classify all smooth Fano complete intersections of dimensions $4$ and $5$, and compute their invariants.

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来源期刊

Communications in Number Theory and Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Focused on the applications of number theory in the broadest sense to theoretical physics. Offers a forum for communication among researchers in number theory and theoretical physics by publishing primarily research, review, and expository articles regarding the relationship and dynamics between the two fields.