Total positivity in Schubert varieties

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

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 کامل

Positivity 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 کامل

Positivity 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 کامل

Multiplicities 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 کامل

Large 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 کامل

ذخیره 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