Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Gashi, Qëndrim R."'
Motivated by an Erd\H{o}s--Ko--Rado type problem on sets of strongly orthogonal roots in the $A_{\ell}$ root system, we estimate bounds for the size of a family of pairs $(A_{i}, B_{i})$ of $k$-subsets in $\{ 1, 2, \ldots, n\}$ such that $A_{i} \cap
Externí odkaz:
http://arxiv.org/abs/2404.04867
Autor:
Gashi, Qëndrim R., Schedler, Travis
We prove that special ample line bundles on toric varieties arising from root systems are projectively normal. Here the maximal cones of the fans correspond to the Weyl chambers, and special means that the bundle is torus-equivariant such that the ch
Externí odkaz:
http://arxiv.org/abs/1102.4083
We study in detail the so-called looping case of Mozes's game of numbers, which concerns the (finite) orbits in the reflection representation of affine Weyl groups situated on the boundary of the Tits cone. We give a simple proof that all configurati
Externí odkaz:
http://arxiv.org/abs/0909.5324
Autor:
Gashi, Qëndrim R., Schedler, Travis
Fix a Dynkin diagram and let p be a coweight. When does there exist an element w of the corresponding Weyl group such that w is p-minuscule and w(p) is dominant? We answer this question for general Coxeter groups. We express and prove these results u
Externí odkaz:
http://arxiv.org/abs/0908.1091
Autor:
Gashi, Qëndrim R.
We prove a conjecture of Kottwitz and Rapoport which implies a converse to Mazur's Inequality for all split and quasi-split (connected) reductive groups. These results are related to the non-emptiness of certain affine Deligne-Lusztig varieties.
Externí odkaz:
http://arxiv.org/abs/0805.4575
Autor:
Gashi, Qëndrim R.
Consider a root system $R$ and the corresponding toric variety $V_R$ whose fan is the Weyl fan and whose lattice of characters is given by the root lattice for $R$. We prove the vanishing of the higher cohomology groups for certain line bundles on $V
Externí odkaz:
http://arxiv.org/abs/0710.5751
Autor:
Gashi, Qëndrim R.
Toric varieties associated with root systems appeared very naturally in the theory of group compactifications. Here they are considered in a very different context. We prove the vanishing of higher cohomology groups for certain line bundles on toric
Externí odkaz:
http://arxiv.org/abs/math/0605701
Publikováno v:
In Journal of Combinatorial Theory, Series A 2012 119(3):713-730
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.