OSU Mathematics Seminars and Colloquia
Calendar
Fri, Jan 20, 2023
Colloquium
3:30 PM
Virtual
Syzygies of adjoint linear series on projective varieties
Justin Lacini, University of Kansas
Host: Jay Schweig
[Abstract] [PDF]
Abstract: Syzygies of algebraic varieties have long been a topic of intense interest among algebraists and geometers alike. Starting with the pioneering work of Mark Green on curves, numerous attempts have been made to extend these results to higher dimensions. Ein and Lazarsfeld proved that if $A$ is a very ample line bundle, then $K_X + mA$ satisfies property $N_p$ for any $m\ge n+1+p$. It has ever since been an open question if the same holds true for $A$ ample and basepoint free. In joint work with Purnaprajna Bangere we give a positive answer to this question.
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