Results 111 to 120 of about 445,079 (174)

On homotopy varieties

open access: yesAdvances in Mathematics, 2007
Proposition 4.5 is not valid; see Remark 4.5(e) in the new version. All other results are correct but there are gaps in proofs. They are fixed by reducing simplicial categories to fibrant ones and replacing homotopy colimits by fibrant ones, as ...
openaire   +3 more sources

Rational points and Brauer--Manin obstruction on Shimura varieties of level one classifying abelian varieties with quaternionic multiplication [PDF]

open access: yesarXiv
We show that the Shimura varieties of level one parametrizing QM-abelian varieties have rarely rational points.
arxiv  

From Schubert Varieties to Doubly-Spherical Varieties [PDF]

open access: yesarXiv
Horospherical Schubert varieties are determined. It is shown that the stabilizer of an arbitrary point in a Schubert variety is a strongly solvable algebraic group. The connectedness of this stabilizer subgroup is discussed. Moreover, a new family of spherical varieties, called doubly spherical varieties, is introduced.
arxiv  

Gorenstein toric Schubert varieties in Grassmannians [PDF]

open access: yesarXiv
A partial flag variety is a smooth projective homogeneous variety admitting an action of a maximal torus $T$. Schubert varieties are $T$-invariant subvarieties of the partial flag varieties. We study toric Schubert varieties in Grassmannian varieties with respect to the action of the torus $T$. Indeed, we present an explicit description of the fan of a
arxiv  

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