Results 1 to 10 of about 85,436 (135)
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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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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Quadratic forms and linear algebraic groups [PDF]
, 2009 Topics discussed at the workshop Quadratic Forms and Linear Algebraic Groups included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of the theory of linear algebraic groups and homogeneous varieties ...
Harbater, David +2 more
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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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On algebraic supergroups, coadjoint orbits and their deformations [PDF]
, 2003 In this paper we study algebraic supergroups and their coadjoint orbits as affine algebraic supervarieties. We find an algebraic deformation quantization of them that can be related to the fuzzy spaces of non commutative geometry.Comment: 37 pages, AMS ...
Fioresi, R., Lledo, M. A.
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On the fibration method for zero-cycles and rational points [PDF]
, 2015 Conjectures on the existence of zero-cycles on arbitrary smooth projective varieties over number fields were proposed by Colliot-Th\'el\`ene, Sansuc, Kato and Saito in the 1980's.
Harpaz, Yonatan, Wittenberg, Olivier
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Polynomial maps over finite fields and residual finiteness of mapping tori of group endomorphisms
, 2003 We prove that every mapping torus of any free group endomorphism is residually finite. We show how to use a not yet published result of E. Hrushovski to extend our result to arbitrary linear groups.
Alexander Borisov +14 more
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Topological representation zeta functions of unipotent groups
, 2015 Inspired by work surrounding Igusa's local zeta function, we introduce topological representation zeta functions of unipotent algebraic groups over number fields.
Rossmann, Tobias
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Isomonodromic differential equations and differential categories
, 2013 We study isomonodromicity of systems of parameterized linear differential equations and related conjugacy properties of linear differential algebraic groups by means of differential categories.
Gorchinskiy, Sergey, Ovchinnikov, Alexey
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