Zobrazeno 1 - 10
of 122
pro vyhledávání: '"Kaveh, Kiumars"'
We give a combinatorial classification of torus equivariant vector bundles on a (normal) projective T-variety of complexity-one. This extends the classification of equivariant line bundles on complexity-one T-varieties by Petersen-S\"uss on one hand,
Externí odkaz:
http://arxiv.org/abs/2406.02912
Autor:
Kaveh, Kiumars, Manon, Christopher
We introduce a notion of tropical vector bundle on a tropical toric variety which is a tropical analogue of a torus equivariant vector bundle on a toric variety. Alternatively it can be called a toric matroid bundle. We define equivariant $K$-theory
Externí odkaz:
http://arxiv.org/abs/2405.03576
Let $G$ be a connected reductive algebraic group over $\mathbb{C}$ with a maximal compact subgroup $K$. Let $G/H$ be a (quasi-affine) spherical homogeneous space. In the first part of the paper, following Akhiezer's definition of spherical functions,
Externí odkaz:
http://arxiv.org/abs/2403.09091
We define equivariant Chern classes of a toric vector bundle over a proper toric scheme over a DVR. We provide a combinatorial description of them in terms of piecewise polynomial functions on the polyhedral complex associated to the toric scheme, wh
Externí odkaz:
http://arxiv.org/abs/2402.18712
Autor:
Kaveh, Kiumars, Manon, Christopher
A toric vector bundle $\mathcal{E}$ is a torus equivariant vector bundle on a toric variety. We give a valuation theoretic and tropical point of view on toric vector bundles. We present three (equivalent) classifications of toric vector bundles, whic
Externí odkaz:
http://arxiv.org/abs/2304.11211
Autor:
Delloque, Rémi, Kaveh, Kiumars
This paper is a report based on the results obtained during a three months internship at the University of Pittsburgh by the first author and under the mentorship of the second author. The notion of an amoeba of a subvariety in a torus $(\mathbb{C}^*
Externí odkaz:
http://arxiv.org/abs/2212.03173
Autor:
Huang, Shaoyu, Kaveh, Kiumars
A toric principal $G$-bundle is a principal $G$-bundle over a toric variety together with a torus action commuting with the $G$-action. In a recent paper, extending the Klyachko classification of toric vector bundles, Chris Manon and the second autho
Externí odkaz:
http://arxiv.org/abs/2211.14653
We give a classification of rank $r$ torus equivariant vector bundles $\mathcal{E}$ on a toric scheme $\mathfrak{X}$ over a discrete valuation ring, in terms of piecewise affine maps $\Phi$ from the polyhedral complex of $\mathfrak{X}$ to the extende
Externí odkaz:
http://arxiv.org/abs/2208.04299
Autor:
Asgari, Mahdi, Kaveh, Kiumars
Publikováno v:
Canadian Journal of Mathematics , Volume 75 , Issue 2 , April 2023 , pp. 375 - 420
We explicate the combinatorial/geometric ingredients of Arthur's proof of the convergence and polynomiality, in a truncation parameter, of his non-invariant trace formula. Starting with a fan in a real, finite dimensional, vector space and a collecti
Externí odkaz:
http://arxiv.org/abs/2103.16837
We study the generic tropical initial ideals of a positively graded Cohen-Macaulay algebra $R$ over an algebraically closed field $\mathbf{k}$. Building on work of R\"omer and Schmitz, we give a formula for each initial ideal, and we express the asso
Externí odkaz:
http://arxiv.org/abs/2009.04928