Duality between W_n-Cartier crystals and ℤ/pⁿℤ-perverse sheaves

2025/06/16 by Jefferson Baudin, Baudin, Jefferson
Mathematics · Physics and Astronomy · #13A35 #13F35 #14G17 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2506.13346

openalex publication_date 2025/06/16 · openalex created_date 2025/10/13 · openalex updated_date 2026/07/28

Abstract

We generalize the results in [Bau23] to obtain a duality between W_n-Cartier crystals and perverse ℤ/pⁿℤ-sheaves.

Citations

• A Grauert-Riemenschneider vanishing theorem for Witt canonical sheaves
• The derived ∞-category of Cartier Modules
• Quasi-F-splittings in birational geometry III
• The Frobenius--stable version of the Grauert--Riemenschneider vanishing theorem fails
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• Generic vanishing in characteristic p>0 and the geometry of theta divisors
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• Cartier Crystals
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Related

• Duality between Cartier crystals and perverse \mathbbF_p-sheaves, and application to generic vanishing
• Cartier crystals and perverse constructible étale p-torsion sheaves
• A Riemann-Hilbert correspondence for Cartier crystals
• An introduction to perverse sheaves
• Cartier Crystals