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Christopher D. Hacon from The University of Utah 

Friday, October 31, 2014 - 2:30pm
SIG 225

Which Powers Of A Holomorphic Function Are Integrable?

Christopher D. Hacon from The University of Utah 


Let f = f(z1, . . . , zn) be a holomorphic function defined on an open subset P ∈ U ⊂ Cn. The log canonical threshold of f at P is the largest s ∈ R such that |f|s is locally integrable at P. This invariant gives a sophisticated measure of the singularities of the set defined by the zero locus of f which is of importance in a variety of contexts (such as the minimal model program and the existence of Kähler-Einstein metrics in the negatively curved case). In this talk we will discuss recent results on the remarkable structure enjoyed by these invariants.

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