Adjoints of Ideals

摘要

Adjoint ideals and multiplier ideals have recently emerged as a fundamental tool in commutative algebra and algebraic geometry. In characteristic 0 they may be defined using resolution of singularities. In positive prime characteristic p, Hara and Yoshida [4] introduced the analogue of multiplier ideals as generalized test ideals for a tight closure theory. For all characteristics, even mixed, Lipman gave the following definition.