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CONVEX REAL PROJECTIVE STRUCTURES ON CLOSED SURFACES ARE CLOSED
REAL PROJECTIVE STRUCTURES CLOSED SURFACES
2015/9/29
T. The deformation space t(E) of convex Rp2_ structures on a closed
surface Y with X(z) < 0 is closed in the space Hom(7r, SL(3, IR))/SL(3, IR)
of equivalence classes of representations r1 (l) -- ...
Characterizations of projective spaces and hyperquadrics
Characterizations of projective spaces hyperquadrics
2011/2/25
Projective spaces and hyperquadrics are the simplest projective algebraic varieties, and they can be characterized in many ways. The aim of this paper is to provide a new characterization of them in t...
We characterize conjugate nonparametric Bayesian models as projective limits of conjugate, nite-dimensional Bayesian models. In particular, we identify a large class of nonparametric models represent...
The varieties of tangent lines to hypersurfaces in projective spaces
varieties of tangent lines hypersurfaces projective spaces
2011/1/20
or a hypersurface in a projective space, we consider the set of pairs of a point and a line in the projective space such that the line intersects the hypersurface at the point with a fixed multiplicit...
The translation operator for self-projective coalgebras
translation operator self-projective coalgebras
2011/1/17
We describe the transpose operator for self-projective and symmetric coalgebras in terms of the syzygy and Nakayama functors.
Characterizations of Projective Spaces and Hyperquadrics via Positivity Properties of the Tangent Bundle
Characterizations of Projective Spaces Hyperquadrics Positivity Properties Tangent Bundle
2011/1/20
Let X be a smooth complex projective variety. A re-cent conjecture of S. Kov´acs states that if the pth-exterior power of the tangent bundle TX contains the pth-exterior power of an am-
ple vec...
Grafting Real Complex Projective Structures with Fuchsian Holonomy
Grafting Real Complex Projective Structures Fuchsian Holonomy
2011/1/20
Let G(S, ρ) be a graph whose vertices are complex projective struc-tures with holonomy ρ and whose edges are graftings from one vertex to another. If ρ is quasi-Fuchsian, a theorem of Goldman implies ...
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 ...
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...
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...
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.
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...