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Graduate Seminar
Syzygies of toric varieties
Milena Hering
17 Apr 2006, 13:00 – 15:00

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 $ N_p$ (for $ p > 1$ ) if the induced embedding is projectively normal, the equations defining the image of the embedding in projective space are quadratic and the first $ (p-1)$ syzygy modules are generated by linear syzygies. I will give an introduction to property $ N_p$ and present necessary criteria for line bundles on toric varieties to satisfy $ N_p$ .

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Activities 2006