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pro vyhledávání: '"Pütz, Alexander"'
The goal of this paper is to extend the quiver Grassmannian description of certain degenerations of Grassmann varieties to the symplectic case. We introduce a symplectic version of quiver Grassmannians studied in our previous papers and prove a numbe
Externí odkaz:
http://arxiv.org/abs/2407.00654
Local models of Shimura varieties in type A can be realized inside products of Grassmannians via certain linear algebraic conditions. Laumon suggested a generalization which can be identified with a family over a line whose general fibers are quiver
Externí odkaz:
http://arxiv.org/abs/2307.00776
Autor:
Pütz, Alexander, Reineke, Markus
Publikováno v:
Pacific J. Math. 326 (2023) 109-133
We construct torus equivariant desingularizations of quiver Grassmannians for arbitrary nilpotent representations of an equioriented cycle quiver. We apply this to the computation of their torus equivariant cohomology.
Comment: 20 pages
Comment: 20 pages
Externí odkaz:
http://arxiv.org/abs/2302.05384
The goal of this paper is to clarify the connection between certain structures from the theory of totally nonnegative Grassmannians, quiver Grassmannians for cyclic quivers and the theory of local models of Shimura varieties. More precisely, we gener
Externí odkaz:
http://arxiv.org/abs/2302.00304
Postnikov constructed a cellular decomposition of the totally nonnegative Grassmannians. The poset of cells can be described (in particular) via Grassmann necklaces. We study certain quiver Grassmannians for the cyclic quiver admitting a cellular dec
Externí odkaz:
http://arxiv.org/abs/2108.10236
Autor:
Lanini, Martina, Pütz, Alexander
In previous work we equipped quiver Grassmannians for nilpotent representations of the equioriented cycle with an action of an algebraic torus. We show here that the equivariant cohomology ring is acted upon by a product of symmetric groups and we in
Externí odkaz:
http://arxiv.org/abs/2105.10122
Autor:
Lanini, Martina, Pütz, Alexander
We define and investigate algebraic torus actions on quiver Grassmannians for nilpotent representations of the equioriented cycle. Examples of such varieties are type $\tt A$ flag varieties, their linear degenerations, finite dimensional approximatio
Externí odkaz:
http://arxiv.org/abs/2008.13138
Autor:
Pütz, Alexander
We study finite dimensional approximations to degenerate versions of affine flag varieties using quiver Grassmannians for cyclic quivers. We prove that they admit cellular decompositions parametrized by affine Dellac configurations, and that their ir
Externí odkaz:
http://arxiv.org/abs/2003.07909
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Publikováno v:
In Journal of Commodity Markets September 2023 31