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Jet bundles on projective space: New examples
Atiyah sequence jet bundle characteristic class generalized Atiyah class
2012/6/21
In previous papers it was shown that the left and right O-module structure of the jet bundles on the projective line differed. In this paper we show that similar statements hold for jet bundles on pro...
A Derived Equivalence for some Twisted Projective Homogeneous Varieties
linear algebraic groups tilting sheaves homogeneous varieties Algebraic Geometry
2012/4/18
In this paper we construct a tilting sheaf for Severi-Brauer Varieties and Involution Varieties. This sheaf relates the derived category of each variety to the derived category of modules over a ring ...
Differential Chow Form for Projective Differential Variety
Differential Chow form differentially homogenous prime differential ideal projective differential variety intersection theory
2011/9/13
Abstract: In this paper, a generic intersection theorem in projective differential algebraic geometry is presented. Precisely, the intersection of an irreducible projective differential variety of dim...
One dimensional Convolutional Goppa Codes over the projective line
One dimensional Convolutional Goppa Codes the projective line Information Theory
2011/9/1
Abstract: We give a general method to construct MDS one-dimensional convolutional codes. Our method generalizes previous constructions of H. Gluesing-Luerssen and B. Langfeld. Moreover we give a class...
The Construction of Numerically Calabi-Yau Orders on Projective Surfaces
Rings and Algebras Algebraic Geometry Numerically Calabi-Yau Orders Projective Surfaces
2011/8/25
Abstract: In this paper, we construct a vast collection of maximal numerically Calabi-Yau orders utilising a noncommutative analogue of the well-known commutative cyclic covering trick. Such orders pl...
The symplectic topology of projective manifolds with small dual
The symplectic topology projective manifolds small dual Algebraic Geometry
2011/8/22
Abstract: We study smooth projective varieties with small dual variety using methods from symplectic topology. We prove the affine parts of such varieties are subcritical, and that the hyperplane clas...