2013/08/23 by V. V. Shokurov, Shokurov, V. V.
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG
paper · pdf · doi:10.48550/arxiv.1308.5160
51 pages
arxiv created 2013/08/23 · arxiv updated 2013/08/26
This is a first instalment of much larger work about relations between birational geometry and moduli of triples. The extraction of work is mainly related to Theorem 6. It is a weak version of Kawamata's Conjecture 1 and an important technical step toward semiampleness of moduli part of adjunction. To prove Theorem 6, we use relative analogues of b-representations. The proof here is rather complete except for b-mobile property used in Corollary 1.