Results 11 to 20 of about 85,582 (116)

The elementary obstruction and homogeneous spaces [PDF]

open access: yes, 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
core   +1 more source

Flexible varieties and automorphism groups [PDF]

open access: yes, 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
core   +2 more sources

Existentially closed fields with G-derivations [PDF]

open access: yes, 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
core   +1 more source

Quadratic forms and linear algebraic groups [PDF]

open access: yes, 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
core   +1 more source

On Fields of rationality for automorphic representations [PDF]

open access: yes, 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
core   +3 more sources

A new construction of Moufang quadrangles of type E6, E7 and E8 [PDF]

open access: yes, 2014
In the classification of Moufang polygons by J. Tits and R. Weiss, the most intricate case is by far the case of the exceptional Moufang quadrangles of type E6, E7 and E8, and in fact, the construction that they present is ad-hoc and lacking a deeper ...
Boelaert, Lien, De Medts, Tom
core   +2 more sources

On algebraic supergroups, coadjoint orbits and their deformations [PDF]

open access: yes, 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.
core   +3 more sources

Polynomial maps over finite fields and residual finiteness of mapping tori of group endomorphisms

open access: yes, 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
core   +1 more source

Equations of the moduli of pointed curves in the infinite Grassmannian [PDF]

open access: yes, 1999
The main result of this paper is the explicit computation of the equations defining the moduli space of triples $(C,p,z)$ (where $C$ is an integral and complete algebraic curve, $p$ a smooth rational point and $z$ a formal trivialization around $p$) in ...
Martín, F. J. Plaza   +1 more
core   +2 more sources

Quantum-to-Classical Correspondence and Hubbard-Stratonovich Dynamical Systems, a Lie-Algebraic Approach

open access: yes, 2011
We propose a Lie-algebraic duality approach to analyze non-equilibrium evolution of closed dynamical systems and thermodynamics of interacting quantum lattice models (formulated in terms of Hubbard-Stratonovich dynamical systems).
A. Altland   +18 more
core   +1 more source

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