Zobrazeno 1 - 10
of 109
pro vyhledávání: '"Littelmann, Peter"'
The goal of the paper is twofold: on one side it provides an order structure on the set of all maximal chains in the Bruhat poset of Schubert varieties in a Grassmann variety; on the other hand, using this order structure, it works out explicit formu
Externí odkaz:
http://arxiv.org/abs/2403.08071
Publikováno v:
Pure and Applied Mathematics Quarterly, Volume 20, Number 1, 139--169, 2024
A standard monomial theory for Schubert varieties is constructed exploiting (1) the geometry of the Seshadri stratifications of Schubert varieties by their Schubert subvarieties and (2) the combinatorial LS-path character formula for Demazure modules
Externí odkaz:
http://arxiv.org/abs/2207.08904
The existence of a Seshadri stratification on an embedded projective variety provides a flat degeneration of the variety to a union of projective toric varieties, called a semi-toric variety. Such a stratification is said to be normal when each irred
Externí odkaz:
http://arxiv.org/abs/2206.13171
The theory of Seshadri stratifications has been developed by the authors with the intention to build up a new geometric approach towards a standard monomial theory for embedded projective varieties with certain nice properties. In this article, we in
Externí odkaz:
http://arxiv.org/abs/2203.13569
Publikováno v:
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 33 (2022), no. 4, pp. 925--957
In this paper, we propose an algebraic approach via Lakshmibai-Seshadri (LS) algebras to establish a link between standard monomial theories, Newton-Okounkov bodies and valuations. This is applied to Schubert varieties, where this approach is compati
Externí odkaz:
http://arxiv.org/abs/2203.12992
Publikováno v:
Invent. Math., 234, 489--572 (2023)
We introduce the notion of a Seshadri stratification on an embedded projective variety. Such a structure enables us to construct a Newton-Okounkov simplicial complex and a flat degeneration of the projective variety into a union of toric varieties. W
Externí odkaz:
http://arxiv.org/abs/2112.03776
The geometric Satake correspondence can be regarded as a geometric construction of the rational representations of a complex connected reductive group G. In their study of this correspondence, Mirkovi\'c and Vilonen introduced algebraic cycles that p
Externí odkaz:
http://arxiv.org/abs/2009.00042
Autor:
Fang, Xin, Littelmann, Peter
Publikováno v:
Trans. Moscow Math. Soc. 2017, 275--297
The Hodge algebra structures on the homogeneous coordinate rings of Grassmann varieties provide semi-toric degenerations of these varieties. In this paper we construct these semi-toric degenerations using quasi-valuations and triangulations of Newton
Externí odkaz:
http://arxiv.org/abs/1709.09734
Following the historical track in pursuing $T$-equivariant flat toric degenerations of flag varieties and spherical varieties, we explain how powerful tools in algebraic geometry and representation theory, such as canonical bases, Newton-Okounkov bod
Externí odkaz:
http://arxiv.org/abs/1609.01166
Publikováno v:
Bulletin of the London Mathematical Society, Volume 50, Issue 2, April 2018, 202--218
We give a uniform proof for the conjectured Gromov width of coadjoint orbits of all compact connected simple Lie groups, by analyzing simplices in Newton-Okounkov bodies.
Comment: A mistake (missing assumption that \lambda is on a rational line)
Comment: A mistake (missing assumption that \lambda is on a rational line)
Externí odkaz:
http://arxiv.org/abs/1607.01163