Thesis Defense Nikita Kozin, Ph D Candidate

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Thesis Defense   Nikita Kozin, Ph D Candidate
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Rice University Department of Mathematics says
Toric fibrations and models of universal torsors

Monday, April 20, 2015
2:30 PM to 4:00 PM
307 Sewall Hall

We study smooth projective threefolds fibered by toric surfaces over the projective line. We show that for certain families of degree 6 del Pezzo and quadric surface bundles the universal torsor corresponding to the generic fiber extends to a smooth model over the base. The model respects the action of the model of the Neron-Severi torus. For the latter we also compute the groups of principal homogeneous spaces.
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By: Rice University Department of Mathematics

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