OSU Mathematics Seminars and Colloquia
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Tue, Oct 29, 2019
Combinatorial and Commutative Algebra Seminar
3:30 PM
MSCS 445
The structure of the symbolic powers of star configurations
Paolo Mantero, University of Arkansas
[Abstract] [PDF]
Abstract: Star configurations of points are sets of points in projective space with strong combinatorial properties. There has been interest in understanding how ``fattening'' points affects the algebraic properties of these configurations or, in other words, understanding the symbolic powers $J^{(m)}$ of their defining ideals $J$.

In this talk we unveil the structure of these ideals $J^{(m)}$: we will describe their minimal generating sets and Betti tables. Our results apply to the more general setting of star configuration of hypersurfaces.

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