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math.AG2005
ACC for log canonical thresholds and termination of log flips
Caucher Birkar
We prove that the ascending chain condition (ACC) for log canonical (lc) thresholds in dimension and Special Termination in dimension imply the termination of any sequence…
math.AG2004
Boundedness of -log Canonical Complements on Surfaces
Caucher Birkar
We prove a conjecture due to V.V. Shokurov on the boundedness of -log canonical complements on surfaces. As an application we give a new proof to the boundedness of weak log Fan…
math.AG2003
On Shokurov's Log Flips: The 3-dimensional Case
Caucher Birkar
This is a survey on the recent fundamental paper by V.V. Shokurov on the existence of log flips.
math.AG2003★ 1 cited
Elements of Nonstandard Algebraic Geometry
Caucher Birkar
We study varieties defined over nonstandard fields using techniques of nonstandard mathematics.