Gennady Lyubeznik
IMA - University of Minnesota

Title: The minimum number of set-theoretic defining equations of
algebraic varieties.

Abstract: Given an algebraic variety in affine or projective space, what
is the minimum number of equations that define this variety
set-theoretically? This is a very difficult problem in general; no
algorithm to compute this minimum number is currently known. We will
discuss some techniques for upper and lower bounds and consider some
interesting specific examples.



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