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For an abelian tensor category a stack is constructed. As an application we show that our construction can be used to recover a quasi-compact separated scheme from the category of its quasi-coherent s...
The hyperdeterminant of a symmetric tensor
hyperdeterminant symmetric tensor Algebraic Geometry
2011/9/19
Abstract: The hyperdeterminant of a symmetric tensor factors into several irreducible factors with multiplicities. Using geometric techniques these factors are identified along with their degrees and ...
On the tensor rank of multiplication in finite extensions of finite fields
finite fields tensor rank of multiplication Algebraic Geometry
2011/8/26
Abstract: In this paper, we give a survey of the known results concerning the tensor rank of the multiplication in finite fields and we establish new asymptotical and not asymptotical upper bounds abo...