Abstract
In this paper we show that any two birational Mori fiber spaces of $\mathbb{Q}$-factorial gklt g-pairs are connected by a finite sequence of Sarkisov links.
Acknowledgments
The author would like to thank Prof. Christopher D. Hacon for suggesting the question and his constant support, especially for teaching me the approaches to the Sarkisov program for pairs. He would like to thank Jingjun Han for his many helpful comments, especially for his effort during the winter of 2017-2018 when he read a very early draft of this paper. He would like to thank the anonymous referee(s) for carefully checking the details and many useful suggestions. The author was partially supported by NSF research grants no: DMS-1300750, DMS-1265285 and by a grant from the Simons Foundation (Award number: 256202).
Citation
Jihao LIU. "Sarkisov program for generalized pairs." Osaka J. Math. 58 (4) 899 - 920, October 2021.
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