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Home » Graduate Student Seminar: Relative log canonical models for elliptic fibrations

Seminar

Graduate Student Seminar: Relative log canonical models for elliptic fibrations May 17, 2019 (11:00 AM PDT - 12:00 PM PDT)
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Location: MSRI: Baker Board Room
Speaker(s) Aline Zanardini (University of Pennsylvania)
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One of the main questions in Birational Geometry is to describe some convenient birational models for algebraic varieties and, more generally, for pairs (X, ∆), where X is a normal algebraic variety and ∆ is a divisor on X with some "mild" singularities. One can further consider a projective morphism f : X → S as part of the input data, which leads to the notion of "relative models".

In this talk we will present a classification of relative log canonical models for certain elliptically fibered spaces X with marked divisor ∆ consisting of a section or multisection for the fibration 

f : X → S together with a weighted divisor supported on some fibers. Our focus will lie on elliptic surfaces of index two and certain elliptic threefolds. We work over C.

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