Results 11 to 20 of about 162,768 (165)
Translation-invariant line bundles on linear algebraic groups [PDF]
Journal of Algebraic Geometry, 2018 We study the Picard groups of connected linear algebraic groups and especially the subgroup of translation-invariant line bundles. We prove that this subgroup is finite over every global function field.
Zev Rosengarten
semanticscholar +1 more source
General linear and functor cohomology over finite fields [PDF]
, 1999 In recent years, there has been considerable success in computing Extgroups of modular representations associated to the general linear group by relating this problem to one of computing Ext-groups in functor categories [F-L-S], [F-S].
V. Franjou +3 more
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Differential Galois groups over Laurent series fields [PDF]
, 2015 In this paper, we apply patching methods to give a positive answer to the inverse differential Galois problem over function fields over Laurent series fields of characteristic zero. More precisely, we show that any linear algebraic group (that is, affine
Annette Bachmayr +2 more
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The elementary obstruction and homogeneous spaces [PDF]
, 2008 Let $k$ be a field of characteristic zero and ${\bar k}$ an algebraic closure of $k$. For a geometrically integral variety $X$ over $k$, we write ${\bar k}(X)$ for the function field of ${\bar X}=X\times_k{\bar k}$.
Borovoi, M. +2 more
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Differential Equations and Finite Groups [PDF]
, 2005 This note is devoted to linear differential equations with finite Galois groups. It is a famous conjecture due to A. Grothendieck that the finiteness of the differential Galois group should be equivalent to the triviality of the p-curvature for almost ...
Matzat, Bernd Heinrich
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Automorphisms of Mackey groups
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics, 2023 We consider total subspaces of linear functionals on an infinite-dimensional vector space and the related Mackey algebras and groups. We outline the description of automorphisms of Mackey groups SL∞(V|W), O∞(f), and SU∞(f) over fields of characteristics ...
O. Bezushchak
semanticscholar +1 more source
Good reduction of algebraic groups and flag varieties [PDF]
, 2015 In 1983, Faltings proved that there are only finitely many abelian varieties over a number field of fixed dimension and with good reduction outside a given set of places.
Javanpeykar, Ariyan, Loughran, Daniel
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Flexible varieties and automorphism groups [PDF]
, 2012 Given an affine algebraic variety X of dimension at least 2, we let SAut (X) denote the special automorphism group of X i.e., the subgroup of the full automorphism group Aut (X) generated by all one-parameter unipotent subgroups. We show that if SAut (X)
Arzhantsev, I. +4 more
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On Fields of rationality for automorphic representations [PDF]
, 2014 This paper proves two results on the field of rationality $\Q(\pi)$ for an automorphic representation $\pi$, which is the subfield of $\C$ fixed under the subgroup of $\Aut(\C)$ stabilizing the isomorphism class of the finite part of $\pi$.
Nicolas Templier, Shin, Sug Woo
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Existentially closed fields with G-derivations [PDF]
, 2015 We prove that the theories of fields with Hasse-Schmidt derivations corresponding to actions of formal groups admit model companions. We also give geometric axiomatizations of these model companions.Comment: In version 2: new proof of (the current ...
Hoffmann, Daniel, Kowalski, Piotr
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