Abstract
I will discuss the regularity, normality, and Cohen-Macaulayness of the secant variety to a smooth projective variety, extending work done together with Sidman for curves. I will then discuss how to adapt the Koszul techniques of Green and Lazarsfeld to understand the equations defining secant varieties as well as their syzygies.
Original language | English |
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State | Published - Apr 11 2009 |