Affiliation:
1. EPFL SB MATH CAG, MA C3 625 (Bâtiment MA) Station 8 Lausanne Switzerland
2. National Center for Theoretical Sciences Taipei Taiwan
Abstract
AbstractWe show that mixed‐characteristic and equi‐characteristic small deformations of 3‐dimensional canonical (resp., terminal) singularities with perfect residue field of characteristic are canonical (resp., terminal). We discuss applications to arithmetic and geometric families of 3‐dimensional Fano varieties and minimal models with canonical singularities. Our results are contingent upon the existence of log resolutions for fourfolds.
Funder
Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
National Center for Theoretical Sciences
Ministry of Science and Technology
European Research Council
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