Hilbert coefficients of Schubert varieties in Grassmannians

Nanduri Ramakrishna

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Hilbert coefficients of Schubert varieties in Grassmannians

机译：格拉斯曼植物中舒伯特变种的希尔伯特系数

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摘要

In this paper, we give combinatorial formulas for the Hilbert coefficients, h-polynomial and the Cohen-Macaulay type of Schubert varieties in Grassmannians in terms of the posets associated with them. As a consequence, necessary conditions for a Schubert variety to be a complete intersection and combinatorial criteria are given for a Schubert variety to be Gorenstein and almost Gorenstein, respectively.

机译：在本文中，我们根据与之相关的体态，给出了格拉斯曼主义者的舒伯特变种的希尔伯特系数，h多项式和Cohen-Macaulay类型的组合公式。因此，给出了舒伯特变种成为完整交点的必要条件，并给出了舒伯特变种分别为Gorenstein和几乎Gorenstein的组合准则。

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《Journal of algebra and its applications》 |2015年第3期|共16页
作者
Nanduri Ramakrishna;
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正文语种 eng
中图分类代数、数论、组合理论;
关键词
Grassmannian; Schubert variety; Hilbert coefficients; Gorenstein ring; almost Gorenstein ring;

机译：Grassmannian;Schubert变;Hilbert系数;Gorenstein环;几乎Gorenstein环;

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专利

1. Hilbert coefficients of Schubert varieties in Grassmannians [J] . Nanduri Ramakrishna Journal of algebra and its applications . 2015,第3期

机译：格拉斯曼植物中舒伯特变种的希尔伯特系数
2. Hilbert functions of points on Schubert varieties in orthogonal Grassmannians [J] . K. N. Raghavan, Shyamashree Upadhyay Journal of Algebraic Combinatorics . 2010,第3期

机译：正交Grassmannian中Schubert变种上点的Hilbert函数
3. Hilbert functions of points on Schubert varieties in the symplectic Grassmannian [J] . Ghorpade SR, Raghavan KN Transactions of the American Mathematical Society . 2006,第12期

机译：辛格拉斯曼方程中舒伯特变种上的点的希尔伯特函数
4. On Some Generalization of Schubert's Varieties [C] . Yuriy A. Drozd, Pavlo S. Kolomiets, NATO NATO Advanced Research Workshop on Computational Commutative and Non-Commutative Algebraic Geometry . 2005

机译：论舒伯特品种的一些概括
5. Orbital Varieties, and Conormal Varieties to Schubert Varieties [D] . Singh, Rahul 2019

机译：轨道品种和舒伯特品种的普通品种
6. SOLUTION OF THE BOLTZMANN-HILBERT INTEGRAL EQUATION II. THE COEFFICIENTS OF VISCOSITY AND HEAT CONDUCTION [O] . Chaim L. Pekeris, Zipora Alterman 1957

机译：BOLTZMANN-HILBERT积分方程的解II。粘度和导热系数
7. Hilbert functions of points on Schubert varieties in Grassmannians [O] . Sudhir R. Ghorpade, K. N. Raghavan 2014

机译：格拉斯曼schubert品种的Hilbert函数

Hilbert coefficients of Schubert varieties in Grassmannians

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