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On syzygies of Mori fibre spaces
We introduce homological and homotopical $r$-syzygies of Mori fibre spaces as a generalization of Sarkisov links and relations of Sarkisov links. For any proper morphism $Y/R$, we construct a contractible (if not empty) CW complex such that there is a 1-1 correspondence between its cells and the cen
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