Milena Hering

Syzygies of toric varietie

Abstract: Understanding the equations defining algebraic varieties and the relations, or syzygies, between them is a classical problem in algebraic geometry. Green showed that sufficient powers of ample line bundles induce a projectively normal embedding that is cut out by quadratic equations and whose first q syzygies are linear. In this talk I will present numerical criteria for line bundles on toric varieties to satisfy this property. I will also discuss criteria for the coordinate ring of such an embedding to be Koszul.
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