TY - JOUR
T1 - General hyperplane sections of threefolds in positive characteristic
AU - Sato, Kenta
AU - Takagi, Shunsuke
N1 - Publisher Copyright:
© Cambridge University Press 2018.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/3/1
Y1 - 2020/3/1
N2 - In this paper, we study the singularities of a general hyperplane section of a three-dimensional quasi-projective variety over an algebraically closed field of characteristic 0]]>. We prove that if has only canonical singularities, then has only rational double points. We also prove, under the assumption that 5]]>, that if has only klt singularities, then so does.
AB - In this paper, we study the singularities of a general hyperplane section of a three-dimensional quasi-projective variety over an algebraically closed field of characteristic 0]]>. We prove that if has only canonical singularities, then has only rational double points. We also prove, under the assumption that 5]]>, that if has only klt singularities, then so does.
UR - http://www.scopus.com/inward/record.url?scp=85045271101&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85045271101&partnerID=8YFLogxK
U2 - 10.1017/S1474748018000166
DO - 10.1017/S1474748018000166
M3 - Article
AN - SCOPUS:85045271101
SN - 1474-7480
VL - 19
SP - 647
EP - 661
JO - Journal of the Institute of Mathematics of Jussieu
JF - Journal of the Institute of Mathematics of Jussieu
IS - 2
ER -