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A REMARK ON GEODESIC GEOMETRY OF TEICHMULLER SPACES
GEODESIC GEOMETRY TEICHMULLER SPACES
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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
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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
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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...
A remark on mirzakhani's asymptotic formulae
A remark mirzakhani's asymptotic formulae
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2018/4/19
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...
A remark on weighted Bergman kernels on orbifolds
Bergman kernels orbifolds remark
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2011/9/19
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...
A remark on the slicing problem
remark slicing problem Functional Analysis
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2011/9/19
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
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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
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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
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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 ...
A remark on some bases in the Hecke algebra
remark some bases Hecke algebra
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2011/1/19
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
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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
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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 ...
A remark on the two-point Schramm formula
remark two-point Schramm formula
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2011/2/25
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
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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.
A remark on the Generalized Hodge Conjecture
remark Generalized Hodge Conjecture
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2010/12/13
Let X denote a smooth, projective, connected algebraic variety over C, of dimension n.