TY - JOUR
T1 - A refined derived Torelli theorem for Enriques surfaces
AU - Li, Chunyi
AU - Nuer, Howard
AU - Stellari, Paolo
AU - Zhao, Xiaolei
N1 - Publisher Copyright:
© 2020, The Author(s).
PY - 2021/4
Y1 - 2021/4
N2 - We prove that two general Enriques surfaces defined over an algebraically closed field of characteristic different from 2 are isomorphic if their Kuznetsov components are equivalent. We apply the same techniques to give a new simple proof of a conjecture by Ingalls and Kuznetsov relating the derived categories of the blow-up of general Artin–Mumford quartic double solids and of the associated Enriques surfaces.
AB - We prove that two general Enriques surfaces defined over an algebraically closed field of characteristic different from 2 are isomorphic if their Kuznetsov components are equivalent. We apply the same techniques to give a new simple proof of a conjecture by Ingalls and Kuznetsov relating the derived categories of the blow-up of general Artin–Mumford quartic double solids and of the associated Enriques surfaces.
KW - 18E30
KW - 14J28
KW - 14F05
UR - http://www.scopus.com/inward/record.url?scp=85096328732&partnerID=8YFLogxK
U2 - 10.1007/s00208-020-02113-2
DO - 10.1007/s00208-020-02113-2
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AN - SCOPUS:85096328732
SN - 0025-5831
VL - 379
SP - 1475
EP - 1505
JO - Mathematische Annalen
JF - Mathematische Annalen
IS - 3-4
ER -