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Einstein metrics and Yamabe invariants of weighted projective spaces
Einstein metrics Yamabe invariants weighted projective spaces Differential Geometry
2012/6/25
An orbifold version of the Hitchin-Thorpe inequality is used to prove that certain weighted projective spaces do not admit orbifold Einstein metrics. Also, several estimates for the orbifold Yamabe in...
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...
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...
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...
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(;...