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research article
Global Frobenius liftability II: surfaces and Fano threefolds
January 1, 2023
In this article, a sequel to Global Frobenius liftability I, we continue the development of a comprehensive theory of Frobenius liftings modulo p(2). 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.
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Type
research article
Web of Science ID
WOS:001036551600011
Authors
Publication date
2023-01-01
Publisher
Volume
24
Issue
1
Start page
329
End page
366
Subjects
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
August 28, 2023