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A REMARK ON GEODESIC GEOMETRY OF TEICHMULLER SPACES
GEODESIC GEOMETRY TEICHMULLER SPACES
2014/9/26
Let T (S) be the Teichm¨uller space of a hyperbolic Riemann surface S and let
Belt(S) be the Banach space of bounded measurable Beltrami differentials μ =
μdz/dz on S with L∞-norms. Suppose M(...
A remark on Waring decompositions of some special plane quartics
remark Waring decompositions special plane quartics Algebraic Geometry
2012/4/16
This paper concerns Waring decompositions of a certain kind of plane quartics of high rank. The main result is the following. Let x, l_1, ...., l_7 be linear forms and q a quadratic form on a K-vector...
A remark on weighted bergman kernels on orbifolds
A remark weighted bergman kernels orbifolds
2018/4/19
In this note, we explain that Ross-Thomas’ result [4, Theorem 1.7] on the weighted Bergman kernels on orbifolds can be directly deduced from our previous result. This result plays an important role in...
In this note, we answer a question of Mirzakhani on asymptotic behavior of the one-point volume polynomial of moduli spaces of curves. We also present some applications of Mirzakhani’s asymptotic form...
Abstract: In this note, we explain that Ross-Thomas' result on the weighted Bergman kernels on orbifolds can be directly deduced from our previous result. This result plays an important role in the co...
Abstract: The purpose of this article is to describe a reduction of the slicing problem to the study of the parameter I_1(K,Z_q^o(K))=\int_K ||< :, x> ||_{L_q(K)}dx. We show that an upper bound of the...
A Brief Remark on Energy Conditions and the Geroch-Jang Theorem
Brief Remark Energy Conditions the Geroch-Jang Theorem
2011/7/27
Abstract: The status of the geodesic principle in General Relativity has been a topic of some interest in the recent literature on the foundations of spacetime theories. Part of this discussion has fo...
A Brief Remark on Energy Conditions and the Geroch-Jang Theorem
Energy Conditions Geroch-Jang Theorem
2011/9/1
The status of the geodesic principle in General Relativity has been a topic of some interest in the recent literature on the foundations of spacetime theories. Part of this discussion has focused on t...
A remark on Alexander polynomial criterion for bi-orderability of fibered 3-manifold groups
Bi-orderable group twisted Alexander polynomial
2011/1/17
We observe that Clay-Rolfsen’s obstruction of bi-orderability, which uses the classical Alexander polynomial, is not strengthened by using the twisted Alexander polynomials for finite representations ...
In this brief note we consider some bases in the Hecke algebra and exhibit certain dualities between them. Our results and arguments are completely combinatorial.However, to explain the motivation and...
A remark on the definitions of viscosity solutions for the integro-differential equations with L{é}vy operators
remark definitions of viscosity solutions integro-differential equations
2011/1/21
In this note, we shall consider the following problem F(x, u,∇u,∇2u)−ZRN [u(x+z)−u(x)−1|z|<1h∇u(x).
A remark on approximation of open sets with regular bounded ones
approximation of irregular open sets ascending sequence of sets analytic boundary
2011/1/19
We show that any open set in Rn is a union of an ascending sequence of bounded open sets with analytic boundary.This is just a technical result, which is probably known. We be-lieve, however, that it ...
Recently Simmons and Cardy predicted a formula for the prob-ability that the chordal SLE8/3 path passes to the left of two points in the upper half-plane. The purpose of this note is to bring it to at...
A remark on primitive cycles and the Radon transform
primitive cycles the Radon transform
2010/11/17
We show that the use of Brylinski's Radon transform elucidates some points of the Green-Griffiths approach to the Hodge conjecture.
Let X denote a smooth, projective, connected algebraic variety over C, of dimension n.