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Counting Divisors with Prescribed Singularities

Counting Divisors with Prescribed Singularities

Given a family of divisors {/),} in a family of smooth varieties { Ys} and a sequence of integers mx, . . ., m,, we study the scheme parametrizing the points (s,yx, . . .,y,) such that^, is a (possibly infinitely near) m,-fold point of D,.We obtain a general formula …