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Affine stratifications from finite misère quotients
Affine stratifications finite misère quotients
2010/12/3
Given a morphism from an affine semigroup Q to an arbitrary commutative monoid, it is shown that every fiber possesses an affine stratification: a partition into a finite disjoint union of translates ...
Triangle-Free Triangulations, Hyperplane Arrangements and Shifted Tableaux
Triangle-Free Triangulations Hyperplane Arrangements Shifted Tableaux
2010/12/6
Flips of diagonals in colored triangle-free triangulations of a convex polygon are interpreted as moves between two adjacent chambers in a certain graphic hyperplane arrangement. Properties of geodesi...
Darboux transformations for two dimensional elliptic affine Toda equations
dimensional elliptic affine Toda equations Darboux transformation
2010/4/7
The Darboux transformations for the two dimensional elliptic affine Toda equations corresponding to all seven infinite series of affine Kac-Moody algebras, including $A_l^{(1)}$, $A_{2l}^{(2)}$, $A_{2...
Defining relations of almost affine (hyperbolic) superalgebras
Hyperbolic Lie superalgebra
2011/1/17
For all almost affine (hyperbolic) Lie superalgebras, the defining relations are computed in terms of their Chevalley generators.
Jacobi structures on affine bundles
Vector and affine bundles Jacobi manifolds Lie algebroids
2007/12/13
We study affine Jacobi structures (brackets) on an affine bundle $\pi:A\to M$, i.e. Jacobi brackets that close on affine functions. We prove that if the rank of $A$ is non-zero, there is a one-to-one ...
<正> In a recent paper of the same title we studied the plane sectionsof the circumscribed developable of a curve in the projective n-dimen-sional space Sn(n(?)3) confining ourselves to the considerati...
<正> In the present paper we propose to establish certain theoremsconcerning plane sections of the circumscribed developable of a curvein the projective n-dimensional space s_n((?)3).The planes in cons...