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The BGG Complex on Projective Space
The BGG Complex Projective Space Differential Geometry projective space Lie algebra cohomology
2011/7/28
Abstract: We give a complete construction of the Bernstein-Gelfand-Gelfand complex on real or complex projective space using minimal ingredients.
Impact of dead zones on the response of a hadron calorimeter with projective and non-projective geometry
dead zones hadron calorimeter projective non-projective geometry
2011/4/6
Impact of dead zones on the response of a hadron calorimeter with projective and non-projective geometry 。
Foliations on the moduli space of rank two connections on the projective line minus four points
Painlev´ e VI Representation Fundamental group Logarithmic connection
2011/2/21
We look at natural foliations on the Painlev´e VI moduli space of regular connections of rank 2 on P1−{t1, t2, t3, t4}. These foliations are fibrations,and are interpreted in terms of the ...
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.
Projective completions of affine varieties via degree-like functions
Projective completions of affine varieties degree-like functions
2011/1/18
We introduce and study a class of projective completions of ane algebraic varieties which generalize the construction of toric varieties from convex rational polytopes.
Towards bounded negativity of self-intersection on general blown-up projective planes
bounded negativity of self-intersection general blown-up projective planes
2011/2/25
We address the problem of bounding from below the self-intersection of integral curves on the projective plane blown-up at general points.In particular, by applying classical deformation theory we obt...
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...
Effectivity of Dynatomic cycles for morphisms of projective varieties using deformation theory
Dynatomic cycles projective varieties deformation theory
2010/11/24
Given an endomorphism of a projective variety, by intersecting the graph and the diagonal varieties we can determine the set of periodic points. In an effort to determine the periodic points of a giv...
Let A be an affine algebra of dimension d>3 over the field k, where k is the algebraic closure of the finite field Z/pZ, where p\geq d. Let P be a projective A-module of rank d-1. Then P is cancellati...
2\pi-graftings and complex projective structures I
2\pi-graftings complex projective structures
2010/11/24
Let $S$ be a closed orientable surface of genus at least two, and let $C$ and $C'$ be complex projective structures on $S$ with the same holonomy and orientation. We show that, if, via Thurston's coor...