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Mathematics Colloquium

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Date:  Tuesday, September 30, 2008

Title:  The Nash blow-up of a toric variety

Abstract:  John Nash long ago introduced the Nash blow-up, which canonically associates to any algebraic variety a new variety with a proper birational morphism to the old one. It appears to make varieties smoother, so algebraic geometers have often wondered whether any variety can be desingularized by a finite sequence of Nash blow-ups. In the case of toric varieties, this question is equivalent to a simple question about convex polyhedra. I will exhibit experimental evidence, assembled by three Columbia undergraduates, for an affirmative answer to this question.


Speaker:  Michael Thaddeus
Institution:  Columbia University

 

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