Christopher Hacon

Abstract In this talk we will discuss issues related to the existence of a moduli space for varieties of general type. Recall that varieties of general type are the higher dimensional analog of Riemann surfaces of genus at least 2. We will explain...

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...

Algebraic geometry is the study of geometric objects defined as the solution set of a system of polynomial equations p1,…,pr∈F[x1,…,xn] where F is an algebraically closed field. After recent spectacular progress in the classification of varieties...