Frobenius amplitude, ultraproducts, and vanishing on singular spaces

2011/01/01 by Donu Arapura · 1 citation
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Polynomial and algebraic computation #Advanced Algebra and Geometry #Ultraproduct #Mathematics #Pure mathematics #Projective variety #Variety (cybernetics) #Type (biology) #Algebra over a field #Mathematical analysis

paper · pdf · doi:10.1215/ijm/1373636688

openalex publication_date 2011/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A general Akizuki–Kodaira–Nakano vanishing theorem is proved for a singular complex projective variety by positive characteristic techniques. The passage to characteristic zero is handled using ultraproducts.

Citations

• The Use of Ultraproducts in Commutative Algebra
• Positivity in Algebraic Geometry I
• Théorie de Hodge : III
• Smoothness, semi-stability and alterations
• Algebraic Geometry

Cited by

• Scheme (mathematics) [wikipedia]

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