拉格朗日格拉斯曼完备交叉口的Landau-Ginzburg模型

IF 1.4 4区数学 Q1 MATHEMATICS

Russian Mathematical Surveys Pub Date : 2021-01-01 DOI:10.1070/RM9984

V. Przyjalkowski, K. Rietsch

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引用次数: 1

摘要

设LG(n)为参数化2n维复辛向量空间的拉格朗日线性子空间的拉格朗日格拉斯曼函数。它有一个plencker嵌入到射影空间P中，因此对于H = OP(1)我们有Pic(LG(n)) = ZH。设X∧LG(n)是一个光滑的Fano完全交(d1，…)dk。我们有∑k1 = 1di < n +1, dk+1 = n +1−∑k1 = 1di是x的Fano指数，设pi, i=1，…， n是形式变量。考虑这个系列

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Landau–Ginzburg models of complete intersections in Lagrangian Grassmannians

Let LG(n) be the Lagrangian Grassmannian parameterizing the Lagrangian linear subspaces of the 2n-dimensional complex symplectic vector space. It has a Plücker embedding to a projective space P, so that for H = OP(1) we have Pic(LG(n)) = ZH. Let X ⊂ LG(n) be a smooth Fano complete intersection of degrees d1, . . . , dk. We have ∑k i=1 di < n + 1, and dk+1 = n + 1 − ∑k i=1 di is the Fano index of X. Let pi, i = 1, . . . , n, be formal variables. Consider the series

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来源期刊

Russian Mathematical Surveys 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Mathematical Surveys is a high-prestige journal covering a wide area of mathematics. The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The survey articles on current trends in mathematics are generally written by leading experts in the field at the request of the Editorial Board.