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The p-cohomology of algebraic varieties and special values of zeta functions
zeta functions algebraic varieties
2015/12/10
The p-cohomology of an algebraic variety in characteristic p lies naturally in the
category Db
c
.R/ of coherent complexes of graded modules over the Raynaud ring
(Ekedahl-Illusie-Raynaud). We stu...
Upper bounds on algebraic connectivity via convex optimization
Laplace operator matrix algebra connection Laplacian invariant subset matrix convex function
2015/8/10
The second smallest eigenvalue of the Laplacian matrix L of a graph is called its algebraic connectivity. We describe a method for obtaining an upper bound on the algebraic connectivity of a family of...
On an algebraic formula and applications to group action on manifolds
algebraic formula applications group action manifolds
2018/4/19
Inspired by a recent result of Cho-Kim-Park, we consider a purely algebraic result. Then given a circle or cyclic group of prime order action on a manifold, we will use it to estimate the lower bound ...
L^3 estimates for an algebraic variable coefficient Wolff circular maximal function
L^3 estimates algebraic variable coefficient Wolff circular maximal function
2011/1/17
In 1997, Thomas Wol proved sharp L3 bounds for his circular maximal function, and in 1999, Kolasa and Wol proved certain non-sharp Lp inequalities for a broader class of maximal functions arising fr...
On the convergence of Chebyshev--Padé approximations to real-valued algebraic functions
Chebyshev--Padé approximations real-valued algebraic functions
2010/12/13
В работе анонсируются новые результаты о сходимости аппроксимаций Чебышёва–
Паде для вещественных алгебраических функций, заданных на отрезке [−1, 1]. Скорость
сходимости аппроксимаций на отре...
We extract an invariant taking values in N ∪ {∞}, which we call the order of algebraic torsion, from the Symplectic Field Theory of a closed contact manifold, and show that its finiteness gives obstru...
Coordinate space wave function from the Algebraic Bethe Ansatz for the inhomogeneous six-vertex model
space wave function Algebraic Bethe Ansatz inhomogeneous six-vertex model
2010/4/1
We derive the coordinate space wave function for the inhomogeneous six-vertex model from the Algebraic Bethe Ansatz. The result is in agreement with the result first obtained long time ago by Yang and...
On the Algebraic Properties of Convex Bodies and Some Applications
(differences of) convex bodies Minkowski operations quasilinear spaces (differences of) support functions
2009/1/13
We extend the set of convex bodies up to differences (factorized pairs) of convex bodies; thereby (Minkowski) multiplication by real scalar is extended in a natural way. We show that differences of co...