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Sarkisov program in arbitrary dimension K. V. Loginov Lomonosov Moscow State University, Faculty of Mechanics and Mathematics |
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Abstract: Sarkisov links are four standard birational transformations of algebraic varieties admitting the Mori fiber space structure. Following the work of D. Hacon and J. McKernan we prove that any two birationally equivalent Mori fiber spaces with Q-factorial terminal singularities can be related by a sequence of Sarkisov links. |
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