Singularities in arbitrary characteristic via jet schemes
Algebraic Geometry
2016-11-11 v2
Abstract
This paper summarizes the results at the present moment about singularities with respect to the Mather-Jacobian log discrepancies over algebraically closed field of arbitrary characteristic. The basic point is the Inversion of Adjunction with respect to Mather-Jacobian discrepancies holds in arbitrary characteristic. Based on this fact we will reduce many geometric properties of the singularities into the problem on jet schemes and try to avoid discussions which are distinctive for characteristic 0.
Keywords
Cite
@article{arxiv.1510.05210,
title = {Singularities in arbitrary characteristic via jet schemes},
author = {Shihoko Ishii and Ana Reguera},
journal= {arXiv preprint arXiv:1510.05210},
year = {2016}
}
Comments
Typos are corrected. Some linguistic points are improved. Final version, to appear in " Hodge theory and L^2 analysis"