The AROMATH seminar will usually happen on Tuesday at 10h30-11h30 every two weeks, except for a few deviations.
The presentations will typically take place at Inria Sophia Antipolis, Byron Blanc 106, and also online.
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use meeting ID: 828 5859 7791, passcode: 123
Navid Nemati - Complete intersection points in product of projective spaces
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24 March 2020
Complete intersection points in product of projective spaces
Navid Nemati
I will report on ongoing project with Marc Chardin. we study the bigraded Hilbert function of complete intersection sets of points in $\mathbb{P}^n \times \mathbb{P}^m$. We give a sharp lower bound for the stabilization of the bigraded Hilbert function. In addition, we show that, in a specific and pretty large region, the bigraded Hilbert Function only depends upon the degree of the forms defining the points. Finally, we consider the case where the forms defining the points are chosen generically. In this case we show that the natural projections to $\mathbb{P}^n$ and $\mathbb{P}^m$ are one-to-one.
