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

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• Diletta Martinelli (Edinburgh)
• Wednesday 08 February 2017, 14:15-15:15
• CMS MR13.

If you have a question about this talk, please contact Caucher Birkar.

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 questions arise such as: is it 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 this number is bounded by a constant depending only on the volume of the variety.

This talk is part of the Algebraic Geometry Seminar series.

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