Abstract:
The Sarkisov program states that every birational map between Mori fiber
spaces can be decomposed into a finite sequence of elementary birational
transformations (so-called Sarkisov links). Following a paper by Hacon and
McKernan, I will present a modern proof of this result, which is based on
Shokurov’s ideas about «geography of ample models» and the results of the
famous BCHM paper.
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