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

2023/12/10 by Nakamura, Yusuke, Shibata, Kohsuke
#14B05 (Secondary) #14E18 (Primary) 14E30 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2312.05808

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".

Related

• Inversion of adjunction for quotient singularities II: Non-linear actions
• Inversion of Adjunction for the minimal exponent
• Inversion of adjunction for non-degenerate hypersurfaces
• Inversion of adjunction for higher rational singularities
• Quotient singularities by permutation actions are canonical