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On the construction of normal mixed difference matrices
Normal mixed difference matrix Kronecker sum
2015/3/18
By exploring the relationship between difference matrices and orthogonal decomposition of projection matrices, this paper presents a general method
for constructing smaller normal mixed difference ma...
Formulae for the determination of the elements of the Eotvos matrix of the Earth's normal gravity field and a relation between normal and actual Gaussian curvature
Eotvos matrix normal gravity field equipotential surfaces Gauss curvature plumbline curvature
2011/9/1
Abstract: In this paper we form relations for the determination of the elements of the E\"otv\"os matrix of the Earth's normal gravity field. In addition a relation between the Gauss curvature of the ...
Vector Bundles over Normal Varieties Trivialized by Finite Morphisms
Essentially finite vector bundles finite mor-phisms principal bundles
2010/12/13
Let Y be a normal and projective variety over an algebraically closed field k and V a vector bundle over Y . We prove that if there exist a k-scheme X and a finite surjective morphism g : X → Y that t...
Hermite normal forms with a given $\delta$-vector
Convex polytope Ehrhart polynomial -vector Hermite normal form
2010/12/14
Let (P) = (0, 1, . . . , d) be the -vector of an integral polytope P ⊂ RN of dimension d. By means of Hermite normal forms of square matrices,the problem of classifying the possible integra...
Inner product space with no ortho-normal basis without choice
Inner product space no ortho-normal basis without choice
2010/12/1
We prove in ZF that there is an inner product space, in fact, nicely definable with no orthonormal basis.
Normal del Pezzo surfaces containing a nonrational singularity
Normal del Pezzo surfaces nonrational singularity
2010/10/29
Working over a perfect field, I classify normal del Pezzo surfaces with base number one that contain a nonrational singularity. They form a huge infinite hierarchy; contractions of ruled surfaces lie ...