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On the vanishing ideal of an algebraic toric set and its parameterized linear codes
algebraic toric set parameterized linear codes Commutative Algebra
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2011/9/16
Abstract: Let K be a finite field and let X be a subset of a projective space, over the field K, which is parameterized by monomials arising from the edges of a clutter. We show some estimates for the...
Vanishing of Tate homology and depth formulas over local rings
AB ring complete intersection ring depth formula Gorenstein ring rigidity of Tor Tate homology
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2011/9/9
Abstract: Auslander's depth formula for pairs of Tor-independent modules over a regular local ring,
depth(M \otimes N) = depth(M) + depth(N) - depth(R),
has been generalized in several directions ...
Vanishing of algebraic Brauer-Manin obstructions
Hasse principle weak approximation Brauer-Manin obstruction
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2011/1/18
Let X be a smooth geometrically integral algebraic variety over a number field k with finitely generated geometric Picard group. We prove that under certain conditions, certain algebraic Brauer-Manin ...
Vanishing integrals for Hall-Littlewood polynomials
Vanishing integrals Hall-Littlewood polynomials
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2010/11/24
It is well known that if one integrates a Schur function indexed by a partition $\lambda$ over the symplectic (resp. orthogonal) group, the integral vanishes unless all parts of $\lambda$ have even m...
Vanishing viscosity limit for viscous magnetohydrodynamic equations with a slip boundary condition
Magnetohydrodynamic system lip boundary condition vanishing viscosity limit
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2010/12/1
We consider the evolutionary MHD systems, and study the the regularity and vanishing viscosity limit of the 3-D viscous system in a class of bounded domains with a slip boundary condition. We derive t...
A Generalization of Ankeny and Rivlin's Result on the Maximum Modulus of Polynomials not Vanishing in the Interior of the Unit Circle
Polynomial maximum modulus principle not vanishing in the interior of unit circle generalization sth derivative
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2010/2/26
For an arbitrary entire function f(z), let M(f,r) = max|z|=r|f(z)|. For a polynomial p(z) of degree n, it is known that M(p,R) \leq Rn M(p,1), R > 1. By considering the polynomial p(z) with no zeros i...