TY - JOUR
T1 - Global Frobenius liftability II
T2 - surfaces and Fano threefolds
AU - Achinger, Piotr
AU - Witaszek, Jakub
AU - Zdanowicz, Maciej
N1 - Publisher Copyright:
© 2023 Scuola Normale Superiore. All rights reserved.
PY - 2023
Y1 - 2023
N2 - In this article, a sequel to Global Frobenius liftability I, we continue the development of a comprehensive theory of Frobenius liftings modulo p2. We study compatibility of divisors and closed subschemes with Frobenius liftings, Frobenius liftings of blow-ups, descent under quotients by some group actions, stability under base change, and the properties of associated F -splittings. Consequently, we characterise Frobenius liftable surfaces and Fano threefolds in large characteristic, confirming the conjecture stated in our previous paper.
AB - In this article, a sequel to Global Frobenius liftability I, we continue the development of a comprehensive theory of Frobenius liftings modulo p2. We study compatibility of divisors and closed subschemes with Frobenius liftings, Frobenius liftings of blow-ups, descent under quotients by some group actions, stability under base change, and the properties of associated F -splittings. Consequently, we characterise Frobenius liftable surfaces and Fano threefolds in large characteristic, confirming the conjecture stated in our previous paper.
UR - http://www.scopus.com/inward/record.url?scp=85154029379&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85154029379&partnerID=8YFLogxK
U2 - 10.2422/2036-2145.202005_003
DO - 10.2422/2036-2145.202005_003
M3 - Article
AN - SCOPUS:85154029379
SN - 0391-173X
VL - 24
SP - 329
EP - 366
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
JF - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
IS - 1
ER -