All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 30 Next

Displaying 581 – 600 of 915

Showing per page

The Strong Anick Conjecture is true

Vesselin Drensky, Jie-Tai Yu (2007)

Journal of the European Mathematical Society

Recently Umirbaev has proved the long-standing Anick conjecture, that is, there exist wild automorphisms of the free associative algebra K 〈 x , y , z 〉 over a field K of characteristic 0. In particular, the well-known Anick automorphism is wild. In this article we obtain a stronger result (the Strong Anick Conjecture that implies the Anick Conjecture). Namely, we prove that there exist wild coordinates of K 〈 x , y , z 〉 . In particular, the two nontrivial coordinates in the Anick automorphism are both wild. We establish a...

The structure of a local embedding and Chern classes of weighted blow-ups

Anca M. Mustaţǎ, Andrei Mustaţǎ (2012)

Journal of the European Mathematical Society

For a proper local embedding between two Deligne-Mumford stacks Y and X , we find, under certain mild conditions, a new (possibly non-separated) Deligne-Mumford stack X ' , with an etale, surjective and universally closed map to the target X , and whose fiber product with the image of the local embedding is a finite union of stacks with corresponding etale, surjective and universally closed maps to Y . Moreover, a natural set of weights on the substacks of X ' allows the construction of a universally closed...

The symplectic Kadomtsev-Petviashvili hierarchy and rational solutions of Painlevé VI

Henrik Aratyn, Johan van de LEUR (2005)

Annales de l’institut Fourier

Equivalence is established between a special class of Painlevé VI equations parametrized by a conformal dimension μ , time dependent Euler top equations, isomonodromic deformations and three-dimensional Frobenius manifolds. The isomonodromic tau function and solutions of the Euler top equations are explicitly constructed in terms of Wronskian solutions of the 2-vector 1-constrained symplectic Kadomtsev-Petviashvili (CKP) hierarchy by means of Grassmannian formulation. These Wronskian solutions give...

The tame automorphism group of an affine quadric threefold acting on a square complex

Cinzia Bisi, Jean-Philippe Furter, Stéphane Lamy (2014)

Journal de l’École polytechnique — Mathématiques

We study the group Tame ( SL 2 ) of tame automorphisms of a smooth affine 3 -dimensional quadric, which we can view as the underlying variety of SL 2 ( ℂ ) . We construct a square complex on which the group admits a natural cocompact action, and we prove that the complex is CAT ( 0 ) and hyperbolic. We propose two applications of this construction: We show that any finite subgroup in Tame ( SL 2 ) is linearizable, and that Tame ( SL 2 ) satisfies the Tits alternative.

The tangent complex to the Bloch-Suslin complex

Jean-Louis Cathelineau (2007)

Bulletin de la Société Mathématique de France

Motivated by a renewed interest for the “additive dilogarithm” appeared recently, the purpose of this paper is to complete calculations on the tangent complex to the Bloch-Suslin complex, initiated a long time ago and which were motivated at the time by scissors congruence of polyedra and homology of SL 2 . The tangent complex to the trilogarithmic complex of Goncharov is also considered.

The tautological ring of M 1 , n c t

Mehdi Tavakol (2011)

Annales de l’institut Fourier

We describe the tautological ring of the moduli space of stable n -pointed curves of genus one of compact type. It is proven that it is a Gorenstein algebra.

Currently displaying 581 – 600 of 915