Now showing items 1-10 of 16138
Varieties connected by chains of lines
On the geometry of polar varieties
We have developed in the past several algorithms with intrinsic complexity bounds for the problem of point finding in real algebraic varieties. Our aim here is to give a comprehensive presentation of the geometrical tools ...
Completely decomposable Jacobian varieties in new genera
(Taylor & Francis, 2017)
We present a new technique to study Jacobian variety decompositions using subgroups of the automorphism group of the curve and the corresponding intermediate covers. In particular, this new method allows us to produce many ...
Higher order selfdual toric varieties
(Springer Heidelberg, 2017-10)
The notion of higher order dual varieties of a projective variety, introduced in Piene [Singularities, part 2, (Arcata, Calif., 1981), Proceedings of Symposia in Pure Mathematics, American Mathematical Society, Providence, ...
On a numerical characterization of non-simple principally polarized abelian varieties
To every abelian subvariety of a principally polarized abelian variety (A,L) we canonically associate a numerical class in the Néron–Severi group of A.We prove that these classes are characterized by their intersection ...