Set-theoretic defining equations of the tangential variety of the Segre variety

Details Set-theoretic defining equations of the tangential variety of the Segre variety Set-theoretic defining equations of the tangential variety of the Segre variety

2009-11-27

arxiv.org/abs/0911.5276v1

Mathematics

Algebraic Geometry

13 pages

Scientific paper

10.1016/j.jpaa.2010.09.009

We prove a set-theoretic version of the Landsberg--Weyman Conjecture on the defining equations of the tangential variety of a Segre product of projective spaces. We introduce and study the concept of exclusive rank. For the proof of this conjecture we use a connection to the author's previous work \cite{oeding_pm_paper, oeding_thesis} and re-express the tangential variety as the variety of principal minors of symmetric matrices that have exclusive rank no more than one.

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