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GeomTop Seminar: talk by Mehdi Makhul

Date: Wednesday, November 14, 2018 13:00 - 14:15
Speaker: Mehdi Makhul (Johann Radon Institute)
Location: Mondi Seminar Room 3, Central Building
Series: Mathematics and CS Seminar
Host: Uli Wagner
Contact: WAGNER Hubert

Abstract:

We study the probability for a random line to intersect a givenplane curve, defined over a finite field, in a given number of pointsdefined over the same field. In particular, we focus on the limits ofthese probabilities under successive finite field extensions. Veronesemaps allow us to compute similar probabilities of intersection between agiven curve and random curves of given degree. Finally, we use Bertini'sTheorem to compute the probability that a random linear subspace of theright dimension intersects X in a given number of points.
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