Boundedness of $(\hat{I}\mu ,n)$-Complements for Surfaces

Abstract

We show the existence of $(\hat{I}\mu ,n)$-complements for $(\hat{I}\mu ,\mathbb{R})$-complementary surface pairs when the coefficients of boundaries belong to a DCC set.

69 pages. Fixed some typos. Dedicated to Vyacheslav Shokurov on the occasion of his seventieth birthday