On W_2 lifting of Frobenius of Algebraic Surfaces
He Xin
TL;DR
This paper classifies minimal algebraic surfaces in positive characteristic that admit a lifting of their Frobenius morphism over truncated Witt rings of length 2, providing a complete characterization.
Contribution
It provides a complete classification of minimal algebraic surfaces allowing Frobenius lifting over truncated Witt rings of length 2 in positive characteristic.
Findings
Identifies which minimal algebraic surfaces admit Frobenius lifting.
Provides a complete classification in the context of positive characteristic.
Clarifies the relationship between Frobenius lifting and surface properties.
Abstract
We completely decide which minimal algebraic surfaces in positive characteristics allow a lifting of their Frobenius over the trucated witt rings of lengh 2.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Polynomial and algebraic computation