Titlebook: Singular Loci of Schubert Varieties; Sara Billey,V. Lakshmibai Book 2000 Springer Science+Business Media New York 2000 Algebra and differe

加花粗鄙人

歌唱队

,Rational Smoothness and Kazhdan—Lusztig Theory, One can also obtain a lower bound for the dimension of the tangent space . from the combinatorial data in the Bruhat graph. Criteria for rational smoothness and smoothness are also given by Kumar, and for the classical groups criteria are also given in terms of pattern avoidance (see Chapters 7 and 8).

Hemiparesis

Related Varieties,inantal varieties and certain of the quiver varieties, we also have a description of the singular locus (cf. [.], [.]) which gives information on the irreducible components of the associated Schubert variety and verifies the conjecture in §8.2 for these Schubert varieties.

阐明

Nil-Hecke Ring and the Singular Locus of ,(,), and the formal . character of the ring of functions on the scheme theoretic tangent cone ..... We also include Dyer’s proof of Deodhar’s inequality here since it uses the nil-Hecke algebra. We begin by introducing the nil-Hecke ring and fixing notation. The results in this chapter extend to the case where . is an arbitrary Kac—Moody group.

重叠

Patterns, Smoothness and Rational Smoothness,ia and computations with the tangent space bases are all exponential. We also state the conjecture due to Lakshmibai—Sandhya for determining the irreducible components of singular loci in the case .(.).

contradict

ABIDE

oracle

松紧带

Book 2000st 20 years, many research articles have been written on the subject in notable journals. In this work, Billey and Lakshmibai have recreated and restructured the various theories and approaches of those articles and present a clearer understanding of this important subdiscipline of Schubert varietie

问到了烧瓶

0743-1643 ature – round out this concise work. After a good introduction giving background material, the topics are presented in a systematic fashion to engage a wide readership of researchers and graduate students..978-1-4612-7094-2978-1-4612-1324-6Series ISSN 0743-1643 Series E-ISSN 2296-505X