Seminar

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.