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minimal model program is part of the birational classification of algebraic varieties.

2 votes
1 answer
354 views

Controlling singularities on log mmp

Suppose all my varieties are complex threefolds $X\rightarrow Y$ over some smooth base curve germ $Y$. We can assume the fibres are Del Pezzo surfaces with generic smooth fibre. If I do (relative) lo …
Jesus Martinez Garcia's user avatar
5 votes
1 answer
1k views

Minimal Model Program for surfaces over algebraically closed fields of characteristic p

Let $k$ be an algebraically closed field of characteristic $p>0$. I have been trying to find out unsuccessfully if there is a mmp for algebraic surfaces over $k$. I know minimal surfaces are classifi …
Jesus Martinez Garcia's user avatar