Toward the second main theorem on complements: from local to global

Details Toward the second main theorem on complements: from local to global Toward the second main theorem on complements: from local to global

2006-06-12

arxiv.org/abs/math/0606242v4

J. Algebraic Geom., 2009, 18, 151-199

Mathematics

Algebraic Geometry

46 pages, LaTeX, third version, we made some changes to improve presentation, to appear in Journal of Algebraic Geometry

Scientific paper

We prove the boundedness of complements modulo two conjectures:
Borisov-Alexeev conjecture and effective adjunction for fibre spaces. We
discuss the last conjecture and prove it in two particular cases.

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