Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Pezzini, Guido"'
Autor:
Pezzini, Guido, van Pruijssen, Maarten
Given a connected simply connected semisimple group G and a connected spherical subgroup K we determine the generators of the extended weight monoid of G/K, based on the homogeneous spherical datum of G/K. Let H be a reductive subgroup of G and let P
Externí odkaz:
http://arxiv.org/abs/2005.09490
Publikováno v:
Selecta Mathematica New Series 26, Article number: 27 (2020)
We apply the combinatorial theory of spherical varieties to characterize the momentum polytopes of polarized projective spherical varieties. This enables us to derive a classification of these varieties, without specifying the open orbit, as well as
Externí odkaz:
http://arxiv.org/abs/1809.08171
Autor:
Pezzini, Guido1 (AUTHOR), van Pruijssen, Maarten2 (AUTHOR)
Publikováno v:
Representation Theory. 9/15/2023, Vol. 27, p815-886. 72p.
Autor:
Pezzini, Guido, Seppänen, Henrik
We define and study the global Okounkov moment cone of a projective spherical variety X, generalizing both the global Okounkov body and the moment body of X defined by Kaveh and Khovanskii. Under mild assumptions on X we show that the global Okounkov
Externí odkaz:
http://arxiv.org/abs/1709.10162
Let G be a complex connected reductive group. I. Losev has shown that a smooth affine spherical G-variety X is uniquely determined by its weight monoid, which is the set of irreducible representations of G that occur in the coordinate ring of X. In t
Externí odkaz:
http://arxiv.org/abs/1705.05357
Autor:
Pezzini, Guido, Van Steirteghem, Bart
Let G be a connected complex reductive group. A well known theorem of I. Losev's says that a smooth affine spherical G-variety X is uniquely determined by its weight monoid, which is the set of irreducible representations of G that occur in the coord
Externí odkaz:
http://arxiv.org/abs/1510.04266
Autor:
Gandini, Jacopo, Pezzini, Guido
Publikováno v:
Journal of Algebraic Combinatorics 47 (2018), 357-401
Let G be a connected reductive complex algebraic group and B a Borel subgroup of G. We consider a subgroup H of B acting with finitely many orbits on the flag variety G/B, and we classify the H-orbits in G/B in terms of suitable combinatorial invaria
Externí odkaz:
http://arxiv.org/abs/1411.5818
Autor:
Pezzini, Guido
We define and study a class of spherical subgroups of a Kac-Moody group. In analogy with the standard theory of spherical varieties, we introduce a combinatorial object associated with such a subgroup, its homogeneous spherical datum, and we prove th
Externí odkaz:
http://arxiv.org/abs/1408.3347
Autor:
Knop, Friedrich, Pezzini, Guido
Publikováno v:
Represent. Theory 19 (2015), 9-23
Let G be a connected reductive group defined over an algebraically closed ground field of characteristic p, let B be a Borel subgroup of G, and let X be a G-variety. The first named author has shown that for p = 0 there is a natural action of the Wey
Externí odkaz:
http://arxiv.org/abs/1308.1495
Autor:
Pezzini, Guido
Let G be a connected reductive complex algebraic group acting on a smooth complete complex algebraic variety X. We assume that X under the action of G is a regular embedding, a condition satisfied in particular by smooth toric varieties and flag vari
Externí odkaz:
http://arxiv.org/abs/1206.0846