93 citations · 133 across the 19 of their papers we have counts for
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math.AG2011★ 5 cited
Divisorial algebras and modules on schemes
Caucher Birkar
We study certain modules over the algebra of a Cartier divisor on a scheme. Using these modules, we present an inductive method for studying finite generation properties of algebra…
math.AG2011★ 9 cited
Topics in algebraic geometry
Caucher Birkar
Lecture notes of an algebraic geometry graduate course. The topics covered are as follows. Cohomology: ext sheaves and groups, cohomology with support, local cohomology, local dual…
math.AG2011★ 3 cited
Supplement to the paper "On existence of log minimal models II"
Caucher Birkar
We prove a stronger version of a termination theorem appeared in the paper "On existence of log minimal models II". We essentially just get rid of the redundant assumptions so the…