Positivity and Lifts of the Frobenius

2013/11/05 by Taylor Dupuy, Dupuy, Taylor · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT

paper · pdf · doi:10.48550/arxiv.1311.0974

7 pages

arxiv created 2013/11/05 · arxiv updated 2013/11/06

Abstract

We show that a smooth scheme over a ring of Witt vectors cannot have a lift of the Frobenius if it has positive Kodaira dimension.

Cited by

• Quasi-canonical lifting of projective varieties in positive characteristic

Related

• Some elementary examples of non-liftable schemes
• Lifting iterated Frobenius over W_n(k)
• Quasi-canonical lifting of projective varieties in positive characteristic
• On W₂ lifting of Frobenius of Algebraic Surfaces
• Weak positivity theorem and Frobenius stable canonical rings of geometric generic fibers