Seminar Algebra and Geometry: Diletta Martinelli (University of Edinburgh)

On the number of minimal models of a smooth threefold of general type

Finding minimal models is the first step in the birational classification of smooth projective varieties. After it is established that a minimal model exists, some natural question arise, such as: is the minimal model unique? If not, how many are they? After recalling all the necessary notions of the Minimal Model Program, I will explain that varieties of general type admit a finite number of minimal models. I will talk about a recent joint project with Stefan Schreieder and Luca Tasin, where we prove that in the case of threefold this number is bounded by a constant depending only on the Betti numbers. I will also show that in some cases it is possible to compute this constant explicitly.

Veranstaltung übernehmen als iCal