

Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
July 18, 2017 15:00, Moscow, Steklov Mathematical Institute, room 540 (Gubkina 8)






Volumes of open surfaces
V. Alekseev^{} 
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Abstract:
A volume of an open surface measures the rate of growth
for the number of pluricanonical sections with simple poles at
infinity. By Alexeev and Mori, there exists an absolute minimum
for the set of positive volumes, with an explicit – but
unrealistically small  bound. I will explain a related conjecture
due to KollÀr and some existing examples. Then I will explain a new
candidate for the surface of the smallest volume, found in a joint
work with Wenfei Liu.
Language: English

