Mather-Jacobian singularities under generic linkage

2015/10/26 by Niu, Wenbo
#Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1510.07668

Abstract

In this paper, we prove that Mather-Jacobian (MJ) singularities are preserved under the process of generic linkage. More precisely, let X be a variety with MJ-canonical (resp. MJ-log canonical) singularities. Then a generic link of X is also MJ-canonical (resp. MJ-log canonical). This further leads us to a result on minimal log discrepancies under generic linkage.

Related

• Singularities of generic linkage of algebraic varieties
• Singularities with respect to Mather-Jacobian discrepancies
• Finite determination conjecture for Mather-Jacobian minimal log discrepancies and its applications
• Singularities in arbitrary characteristic via jet schemes
• The theorem of Mather on generic projections for singular varieties