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

Research paper by Yu. G. Prokhorov, V. V. Shokurov

Indexed on: 31 Oct '07Published on: 31 Oct '07Published in: Mathematics - Algebraic Geometry


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.