UC Berkeley

Commutative Algebra and Algebraic Geometry Seminar

November 15, 2016

939 Evans Hall

3:45PM: Castelnuovo-Mumford regularity of power products

Winfried Bruns

We show that the Castelnuovo-Mumford regularity and re- lated invariants of products of powers of ideals in a standard graded polynomial ring are affine-linear in the exponents if these are large enough, provided that each ideal is generated by elements of constant degree. A counterexample shows that linearity is false without the con- dition, but the regularity is always given by the maximum of finitely many affine-linear polynomials. This is joint work with Aldo Conca (Genoa).

5:00PM: CA Learning Seminar


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