Graduate Seminar
Syzygies of toric varieties
Milena Hering
18 Apr 2006, 14:00 – 16:00
It is a fundamental problem in algebraic geometry to understand the equations and syzygies of a variety in projective space. We say that a very ample line bundle satisfies
(for
) if the induced embedding is projectively normal, the equations defining the image of the embedding in projective space are quadratic and the first
syzygy modules are generated by linear syzygies. I will give an introduction to property
and present necessary criteria for line bundles on toric varieties to satisfy
.
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