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Some comments on projective quadrics subordinate to pseudo--Hermitian spaces
Some comments projective quadrics subordinate pseudo--Hermitian spaces
2011/1/17
We study in some detail the structure of the projective quadric Q′obtained by taking the quotient of the isotropic cone in a standard pseudohermitian space Hp,q with respect to the positive real numbe...
Scalar curvature and asymptotic Chow stability of projective bundles and blowups
Scalar curvature asymptotic Chow stability projective bundles blowups
2010/12/14
The holomorphic invariants introduced by Futaki as obstruction to the asymptotic Chow semistability are studied by an algebraic-geometric point of view and are shown to be the
Mumford weights of suit...
Threefolds with quasi-projective universal cover
universal cover L2-theory geometric orbifolds MMP
2010/12/9
We study compact Kähler threefolds X with infinite fundamental group whose universal cover can be compactified. Combining techniques from L2-theory, Campana’s geometric orbifolds and the minimal ...
For a smooth and projective variety over a number field with torsion free geometric Picard group and finite transcendental Brauer group we show that only the archimedean places, the primes of bad redu...
Weighted Bergman Projections and Kernels: Lp Regularity and Zeros
Weighted Bergman Projections Kernels: Lp Regularity Zeros
2010/12/6
We investigate Lp regularity of weighted Bergman projec-tions and zeros of weighted Bergman kernels for the weights that are radially symmetric and comparable to 1 on the unit disc.
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.