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6 papers · 1 filter
An extended version of additive K-theory
Stavros Garoufalidis
There are two infinitesimal (i.e., additive) versions of the -theory of a field : one was introduced by Cathelineau, which is an -module, and another one introduced by Blo…
Maps between moduli spaces of vector bundles and the base locus of the theta divisor
Tawanda Gwena, Montserrat Teixidor i Bigas
Given a vector bundle of rank and degree on a curve of genus , one can associate to in a natural way several other vector bundles. For example, one can take…
A counterexample to the maximality of toric varieties
Valerie Hower
We present a counterexample to the conjecture of Bihan, Franz, McCrory, and van Hamel concerning the maximality of toric varieties. There exists a six dimensional projective toric…
Some Remarks on the Jacobian Conjecture and Connections with Hilbert's Irreducibility Theorem
Richard J. Lipton, Evangelos Markakis
We make two observations regarding the invertibility of Keller maps. i.e., polynomial maps for which the determinant of their Jacobian matrix is identically equal to 1. In our firs…
On the ideals of secant varieties of Segre varieties
J. M. Landsberg, Laurent Manivel
We establish basic techniques for studying the ideals of secant varieties of Segre varieties. We solve a conjecture of Garcia, Stillman and Sturmfels on the generators of the ideal…
Topology of definable Hausdorff limits
Thierry Zell
Let be a set definable in an o-minimal expansion of the real field, be its projection, and assume that the non-empty fibers are…