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arxiv: 1810.05105 · v1 · pith:H5KXPY2Unew · submitted 2018-10-11 · 🧮 math.AG

A note on the G-Sarkisov program

classification 🧮 math.AG
keywords programsarkisovconnectednoteactingalgebraiccharacterisationconsequence
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The purpose of this note is to prove the $G$-equivariant Sarkisov program for a connected algebraic group $G$ following the proof of the Sarkisov program by Hacon and McKernan. As a consequence, we obtain a characterisation of connected subgroups of $Bir(Z)$ acting rationally on $Z$.

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