Results 11 to 20 of about 318 (158)

Graph Varieties Axiomatized by Semimedial, Medial, and Some Other Groupoid Identities

Discussiones Mathematicae - General Algebra and Applications, 2020
Directed graphs without multiple edges can be represented as algebras of type (2, 0), so-called graph algebras. A graph is said to satisfy an identity if the corresponding graph algebra does, and the set of all graphs satisfying a set of identities is ...
Lehtonen Erkko, Manyuen Chaowat
doaj   +3 more sources

The Unipotent Albanese Map and Selmer Varieties for Curves

Publications of the Research Institute for Mathematical Sciences, 2009
We study the unipotent Albanese map that associates the torsor of paths for p -adic fundamental groups to a point on a hyperbolic curve. It is shown that the map is very transcendental in nature, while standard conjectures about the structure of mixed motives provide control over the image of
Kim, Minhyong, Minhyong Kim, Kim, M
openaire   +7 more sources

Vanishing theorems for Shimura varieties at unipotent level

Journal of the European Mathematical Society, 2022
We show that the compactly supported cohomology of Shimura varieties of Hodge type of infinite \Gamma_1(p^\infty) -level (defined with respect to a Borel subgroup) vanishes above the middle degree, under the assumption that the group of the Shimura ...
Caraiani, A, Gulotta, DR, Johansson, C
openaire   +7 more sources

Rational points on generalized flag varieties and unipotent conjugacy in finite groups of Lie type [PDF]

Transactions of the American Mathematical Society, 2008
Let G G be a connected reductive algebraic group defined over the finite field
Goodwin, Simon M., Roehrle, Gerhard
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Maximal commutative unipotent subgroups and a characterization of affine spherical varieties

Journal of the European Mathematical Society, 2023
We describe maximal commutative unipotent subgroups of the automorphism group \mathrm{Aut}(X) of an irreducible affine variety X . Furthermore, we show that a group isomorphism \mathrm{Aut}(X) \allowbreak ...
Andriy Regeta, Immanuel van Santen
openaire   +4 more sources

The fixed point subvarieties of unipotent transformations on generalized flag varieties and the green functions

Mathematische Annalen, 1979
Hotta, R., Shimomura, N.
exaly   +3 more sources

Spectrum of equivariant cohomology as a fixed point scheme [PDF]

Épijournal de Géométrie Algébrique
An action of a complex reductive group $\mathrm G$ on a smooth projective variety $X$ is regular when all regular unipotent elements in $\mathrm G$ act with finitely many fixed points.
Tamás Hausel, Kamil Rychlewicz
doaj   +1 more source

The sheets of a classical lie algebra [PDF]

, 2005
We consider the adjoint action of a connected complex semisimple group G on its Lie algebra g. A sheet of g is a maximal irreducible subset of g consisting of G-orbits of a fixed dimension.
Im Hof, Andreas Emanuel
core   +1 more source

Unipotent group actions on projective varieties

Advanced Studies in Pure Mathematics, 2019
The correspondence between $G_a$-actions on affine varieties and locally nilpotent derivations of the coordinate algebras is generalized in the projective case to the correspondence between stratified $G_a$-actions on smooth projective varieties $V$ and regular vector fields on $V$ which are effectively locally nilpotent with stratification.
Gurjar, Rajendra V., Masuda, Kayo, Miyanishi, Masayoshi   +2 more
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Examples of quantum cluster algebras associated to partial flag varieties [PDF]

, 2011
We give several explicit examples of quantum cluster algebra structures, as introduced by Berenstein and Zelevinsky, on quantized coordinate rings of partial flag varieties and their associated unipotent radicals.
Jan E. Grabowski, Grabowski, Jan E., Grabowski, Jan   +2 more
core   +1 more source