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Let A be an abelian variety over a number field F and A_
its dual. B. Birch and
P. Swinnerton-Dyer, interested in defining the Tamagawa number (A) of A, were led to their
celebrated c...
A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere
Gluing Dirac Type Operators Mirror Quantum Two-Sphere
2014/12/12
The goal of this paper is to introduce a class of operators, which we call quantum Dirac type operators on a noncommutative sphere, by a gluing construction from copies of noncommutative disks, subjec...
NOTE ON GLOBAL REGULARITY FOR 2D OLDROYD-B FLUIDS WITH DIFFUSIVE STRESS
Oldroyd-B, complex uids Fokker-Planck equations blow up global existence Euler equations Navier-Stokes equations kinetic equations
2014/4/3
We prove global regularity of solutions of Oldroyd-B equations in 2 spatial dimensions with spatial di usion of the polymeric stresses.
The aim of this note is to extend the notion of commutativity of vector fields to the category of singular foliations, using Nambu structures, i.e. integrable multi-vector fields. We will show some ba...
A note on Canonical Ricci forms on 2-step nilmanifolds
note Canonical Ricci forms 2-step nilmanifolds
2012/2/29
In this note we prove that any left-invariant almost Hermitian structure on a 2-step nilmanifold is Ricci-flat with respect to the Chern connection and that it is Ricci -flat with respect to another c...
A note on the volume flux of smooth and continuous strictly contact isotopies
Flux homomorphism strictly contact isotopy regular contact form topological or continuous Hamiltonian
2011/9/20
Abstract: This note on the flux homomorphism for strictly contact isotopies complements the recent paper [MS11a] by P. Spaeth and the author. We determine the volume flux restricted to symplectic and ...
A note on compact gradient Yamabe solitons
compact gradient Yamabe soliton Yamabe flow constant scalar curvature metric
2011/9/15
Abstract: We will give a simple proof that the metric of any compact Yamabe gradient soliton (M,g) is a metric of constant scalar curvature when the dimension of the manifold n>2.
Note on a Differential-Geometrical Construction of Optimal Directions in Linearly-Constrained Systems
Linear programming Linear algebra Differential forms
2010/11/30
This note presents an analytic construction of the optimal unit-norm direction bx = x/||x|| that maximizes or minimizes the objective linear expression, B · bx, subject to a system of linear constrain...
In [BL94] Beauville and Laszlo give an interpretation of the affine Grassmannian for Gln over a field k as a moduli space of, loosely speak-ing, vector bundles over a projective curve together with a ...
A note on the Bloch-Beilinson conjecture for K3 surfaces and spherical objects
Bloch-Beilinson conjecture K3 surfaces spherical objects
2010/12/10
For a projective K3 surface X over an algebraically closed field k let Db(X) denote the bounded derived category of coherent sheaves. Spherical objects, e.g. line bundles and rigid
stable bundles, pl...
<正> INTRODUGTION.1.In the proiective theory of a curve in ordinary space thereare introduced various systems of tetrahedrons associated to a pointof the curve.Most of them are,more or less,artificial ...