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The first part of this note contains a review of basic properties of the variety of lines contained in an embedded projective variety and passing through a general point. In particular we provide a de...
Locally nearly spherical surfaces are almost-positively $c$-curved
Locally nearly spherical surfaces almost-positively $c$-curved
2010/12/8
The c-curvature of a complete surface with Gauss curvature close to 1 in C2 norm is almost-positive (in the sense of Kim–McCann). Our proof goes by a careful case by case analysis combined with pertur...
Lower and upper bounds for nef cones
nef cones
2010/11/26
The nef cone of a projective variety Y is an important and often elusive invariant. In this paper we construct two polyhedral lower bounds and one polyhedral upper bound for the nef cone of Y using an...
On the connectivity of the realization spaces of line arrangements
realization spaces of line arrangements
2010/11/26
We prove that under certain combinatorial conditions, the realization spaces of line arrangements on the complex projective plane are connected. We also give several examples of arrangements with eigh...
Gauss maps of constant mean curvature surfaces in three-dimensional homogeneous spaces
Gauss maps of constant mean curvature surfaces three-dimensional homogeneous spaces
2010/11/26
It is well-known that for a surface in a 3-dimensional real space form the constancy of
the mean curvature is equivalent to the harmonicity of the Gauss map. However, this is not true
in general for...
Complexity and Stochastic Synchronization in Coupled Map Lattices and Cellular Automata
Complexity Stochastic Synchronization Coupled Map Lattices Cellular Automata
2010/12/15
Nowadays the question ‘what is complexity?’ is a challenge to be answered. This question
is triggering a great quantity of works in the frontier of physics, biology, mathematics and
computer science...
Balanced metrics and chow stability of projective bundles over Riemann surfaces
Balanced metrics chow stability of projective bundles Riemann surfaces
2010/12/15
In 1980, I. Morrison proved that slope stability of a vector bundle of rank 2 over a compact Riemann surface implies Chow stability of the projectivization of the bundle with respect to certain polari...
Dynamics of soliton-like solutions for slowly varying, generalized gKdV equations: refraction vs. reflection
gKdV equations integrability theory soliton dynamics slowly varying medium
2010/12/13
In this work we continue our study of the description of the soliton-like solutions of the variable coecients, subcritical gKdV equation ut + (uxx u + a("x)um)x = 0; in Rt Rx; m = 2; 3 ...
We prove that the specialization to q = 1 of a Kirillov-Reshetikhin module for an untwisted
quantum affine algebra of classical type is projective in a suitable category. This
yields a uniform chara...
We give some results on quadratic normality of reducible curves canonically embedded and partially extend this study to their projective normality.
Mixed Non-Expansive and Potentially Expansive Properties of a Class of Self-Maps in Metric Spaces
contractive maps non-expansive maps metric space fixed points
2010/12/15
This paper investigates self-maps T : X X which satisfy a distance constraint in a metric
space which mixed point-dependent non-expansive properties, or in particular contractive ones, and p...
Groups with faithful irreducible projective unitary representations
Projective unitary representations irreducible representations
2010/12/10
For a countable group and a multiplier ∈ Z2(,T),we study the property of having a unitary projective -representation which is both irreducible and projectively faith...
Invariant distributions on projective spaces over local fields
Buildings boundary distributions
2010/12/13
Let be an e An subgroup of PGLn+1(K), with n 2, where K is a local field with residue field of order q and let Pn K be projective n-space over K. The module of coinvariants H0(;...
二阶超曲面在n维射影空间P_n的射影分类
n维射影空间 二阶超曲面
2008/12/12
推导了二阶超曲面在 n 维射影复空间和实空间 P_n 的射影分类,并在直观的2维射影复平面和实平面P_2以及3维射影复空间和实空间 P_3来验证这个一般射影分类方法的正确性.