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On the minimal models of surfaces via Mori theory

Solomiya Mizyuk
Schedule: 
Friday, May 27, 2022 - 16:30 to 17:30
Location: 
A-136
Abstract: 

We discuss the classification of surfaces via the minimal model program. In particular, we state and give some ideas of the proof of the rationality, cone, and contraction theorems. This enables us to conclude that each nonsingular projective surface is birational either to a surface with a nef canonical class, to the projective plane, or to a ruled surface. We mainly follow chapter D of https://arxiv.org/pdf/alg-geom/9602006.pdf

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