A proof of Wahl's conjecture in the symplectic case

被引：1

作者：

Thomsen, Jesper Funch ^{[1
]}

机构：

[1] Aarhus Univ, Inst Math, DK-8000 Aarhus C, Denmark

来源：

TRANSFORMATION GROUPS | 2013年 / 18卷 / 01期

关键词：

Nonzero Constant; Open Dense Subset; Schubert Variety; Coordinate Ring; Invertible Sheaf;

D O I：

10.1007/s00031-013-9209-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X denote a flag variety of type A or type C. We construct a canonical Frobenius splitting of X x X which vanishes with maximal multiplicity along the diagonal. This way we verify a conjecture by Lakshmibai, Mehta and Parameswaran [4] in type C, and obtain a new proof in type A. In particular, we obtain a proof of Wahl's conjecture in type C, and a new proof in type A. We also present certain cohomological consequences.

引用

页码：263 / 286

页数：24

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