Asian Journal of Mathematics
Volume 23 (2019)
Automorphism groups of smooth quintic threefolds
Pages: 201 – 256
We study automorphism groups of smooth quintic threefolds. Especially, we describe all the maximal ones with explicit examples of target quintic threefolds. There are exactly 22 such groups.
automorphisms, quintic threefolds, hypersurfaces, finite groups
2010 Mathematics Subject Classification
14J32, 14J50, 14J70, 20E99
Dedicated to Professor Shigeru Mukai on the occasion of his sixtieth birthday
The first author is supported by JSPS Grant-in-Aid (S) No 25220701, JSPS Grant-in-Aid (S) No 22224001, JSPS Grant-in-Aid (B) No 22340009, and by KIAS Scholar Program.
Received 5 December 2016
Accepted 16 August 2017
Published 28 June 2019