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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