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Iskovskikh Seminar
November 15, 2012 18:00, Moscow, Steklov Mathematical Institute, room 540
 


Torification and factorization of birational maps

A. Avilov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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Abstract: This talk will be based on the paper of Dan Abramovich, Kalle Karu, Kenji Matsuki and Jaroslaw Wlodarczyk. We will discuss the proof of the weak factorization conjecture: every birational map between complete nonsingular varieties over an algebraically closed field of characteristic zero is a composite of blowings up and blowings down with smooth centers. Also we will see the difference between this proof and another proof, given by the fourth author.

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