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Algebraic Geometry Seminar - Maksym Fedorchuk

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September 16, 2014
3:00PM - 4:00PM
MW 154

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Add to Calendar 2014-09-16 15:00:00 2014-09-16 16:00:00 Algebraic Geometry Seminar - Maksym Fedorchuk Title:  A Semi-Ampleness Criterion for Divisors on the Moduli Space of Stable Pointed Rational CurvesSpeaker:  Maksym Fedorchuk, Boston CollegeAbstract:  We develop a new combinatorial approach to proving base point freeness of divisors on $\overline{M}_{0,n}$.  On one hand, this leads to a simple sufficient criterion for an S_n-symmetric divisor to be semi-ample. On the other hand, we construct infinite series of semi-ample divisors associated to cyclic quadratic forms satisfying certain positivity properties. MW 154 Department of Mathematics math@osu.edu America/New_York public

Title:  A Semi-Ampleness Criterion for Divisors on the Moduli Space of Stable Pointed Rational Curves

Speaker:  Maksym Fedorchuk, Boston College

Abstract:  We develop a new combinatorial approach to proving base point freeness of divisors on $\overline{M}_{0,n}$.  On one hand, this leads to a simple sufficient criterion for an S_n-symmetric divisor to be semi-ample. On the other hand, we construct infinite series of semi-ample divisors associated to cyclic quadratic forms satisfying certain positivity properties.

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