Results 21 to 30 of about 400 (65)

Feigin–Odesskii brackets associated with Kodaira cycles and positroid varieties

Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.
Abstract We establish a link between open positroid varieties in the Grassmannians G(k,n)$G(k,n)$ and certain moduli spaces of complexes of vector bundles over Kodaira cycle Cn$C^n$, using the shifted Poisson structure on the latter moduli spaces and relating them to the standard Poisson structure on G(k,n)$G(k,n)$.
Zheng Hua, Alexander Polishchuk
wiley   +1 more source

Segre products of cluster algebras

Bulletin of the London Mathematical Society, Volume 56, Issue 12, Page 3777-3785, December 2024.
Abstract We show that under mild assumptions the Segre product of two graded cluster algebras has a natural cluster algebra structure.
Jan E. Grabowski, Lauren Hindmarch
wiley   +1 more source

Degenerate flag varieties of type A and C are Schubert varieties [PDF]

, 2014
We show that in type A or C any degenerate flag variety is in fact isomorphic to a Schubert variety in an appropriate partial flag manifold.
Giovanni Cerulli Irelli, M. Lanini
semanticscholar   +1 more source

Valuative invariants for large classes of matroids

Journal of the London Mathematical Society, Volume 110, Issue 3, September 2024.
Abstract We study an operation in matroid theory that allows one to transition a given matroid into another with more bases via relaxing a stressed subset. This framework provides a new combinatorial characterization of the class of (elementary) split matroids.
Luis Ferroni, Benjamin Schröter
wiley   +1 more source

K‐theory Soergel bimodules

Bulletin of the London Mathematical Society, Volume 56, Issue 3, Page 1169-1191, March 2024.
Abstract We initiate the study of K$K$‐theory Soergel bimodules, a global and K$K$‐theoretic version of Soergel bimodules. We show that morphisms of K$K$‐theory Soergel bimodules can be described geometrically in terms of equivariant K$K$‐theoretic correspondences between Bott–Samelson varieties.
Jens Niklas Eberhardt
wiley   +1 more source

Maximal disjoint Schubert cycles in rational homogeneous varieties

Mathematische Nachrichten, Volume 297, Issue 1, Page 174-194, January 2024.
Abstract In this paper, we study properties of the Chow ring of rational homogeneous varieties of classical type, more concretely, effective zero divisors of low codimension, and a related invariant called effective good divisibility. This information is then used to study the question of (non)existence of nonconstant maps among these varieties ...
Roberto Muñoz, Gianluca Occhetta, Luis E. Solá Conde   +2 more
wiley   +1 more source

The uniqueness theorem for Gysin coherent characteristic classes of singular spaces

Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.
Abstract We establish a general computational scheme designed for a systematic computation of characteristic classes of singular complex algebraic varieties that satisfy a Gysin axiom in a transverse setup. This scheme is explicitly geometric and of a recursive nature terminating on genera of explicit characteristic subvarieties that we construct.
Markus Banagl, Dominik J. Wrazidlo
wiley   +1 more source

Presenting the cohomology of a Schubert variety: Proof of the minimality conjecture

Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.
Abstract A minimal presentation of the cohomology ring of the flag manifold GLn/B$GL_n/B$ was given in A. Borel (1953). This presentation was extended by E. Akyildiz–A. Lascoux–P. Pragacz (1992) to a nonminimal one for all Schubert varieties. Work of V. Gasharov–V.
Avery St. Dizier, Alexander Yong
wiley   +1 more source

On the Computation of the Cohomological Invariants of Bott–Samelson Resolutions of Schubert Varieties

Bulletin of the Iranian Mathematical Society
Let X⊆G/B\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$X\subseteq G ...
Davide Franco
semanticscholar   +1 more source

CLASSIFICATION OF SMOOTH SCHUBERT VARIETIES IN THE SYMPLECTIC GRASSMANNIANS

, 2015
. A Schubert variety in a rational homogeneous variety G/P isdefined by the closure of an orbit of a Borel subgroup Bof G. In general,Schubert varieties are singular, and it is an old problem to determinewhich Schubert varieties are smooth. In this paper,
Jaehyun Hong
semanticscholar   +1 more source