Inversion of adjunction for quotient singularities III: semi-invariant case

Abstract

We prove the precise inversion of adjunction formula for finite linear group quotients of complete intersection varieties defined by semi-invariant equations. As an application, we prove the semi-continuity of minimal log discrepancies for them. These results extend the results in our first paper, where we prove the same results for complete intersection varieties defined by ``invariant equations".

30 pages. To appear in J. Lond. Math. Soc