Total positivity in Schubert varieties
نویسندگان
چکیده
منابع مشابه
Total positivity in Schubert varieties
We extend the results of [2] on totally positive matrices to totally positive elements in arbitrary semisimple groups. Mathematics Subject Classification (1991). 14M15, 22E46, 15A48.
متن کاملPositivity of Chern classes of Schubert cells and varieties
We show that the Chern-Schwartz-MacPherson class of a Schubert cell in a Grassmannian is represented by a reduced and irreducible subvariety in each degree. This gives an affirmative answer to a positivity conjecture of Aluffi and Mihalcea.
متن کاملPositivity in Equivariant Schubert Calculus
We prove a positivity property for the cup product in the T -equivariant cohomology of the flag variety. This was conjectured by D. Peterson and has as a consequence a conjecture of S. Billey. The result for the flag variety follows from a more general result about algebraic varieties with an action of a solvable linear algebraic group such that the unipotent radical acts with finitely many orb...
متن کاملMultiplicities on Schubert Varieties
We calculate using Macaulay 2 the multiplicities of the most singular point on Schubert varieties on Gl(n)/B for n = 5, 6. The method of computation is described and tables of the results are included.
متن کاملLarge Schubert Varieties
For a semisimple adjoint algebraic group G and a Borel subgroup B, consider the double classes BwB in G and their closures in the canonical compactification of G; we call these closures large Schubert varieties. We show that these varieties are normal and Cohen-Macaulay; we describe their Picard group and the spaces of sections of their line bundles. As an application, we construct geometricall...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Commentarii Mathematici Helvetici
سال: 1997
ISSN: 0010-2571
DOI: 10.1007/pl00000363