On Steenbrink vanishing for rational singularities in positive characteristic

2025/07/07 by Kawakami, Tatsuro
#13A35 #14B05 #14F10 #14F17 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2507.04838

Abstract

We show a special case of Steenbrink vanishing for rational singularities in positive characteristic. As a consequence, we prove that strongly F-regular threefolds and klt threefolds in characteristic p>41 satisfy Steenbrink vanishing.

Citations

• On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type
• Extending one-forms on F-regular singularities
• Higher F-injective singularities
• Steenbrink-type vanishing for surfaces in positive characteristic
• Quasi-F-splittings in birational geometry II
• Quasi-F-splittings in birational geometry
• Extendability of differential forms via Cartier operators
• Resolution and alteration with ample exceptional divisor
• Vanishing theorems for threefolds in characteristic p>5
• On the Kawamata-Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic
• Steenbrink vanishing extended
• Higher direct images of the structure sheaf in positive characteristic

Related

• The Frobenius--stable version of the Grauert--Riemenschneider vanishing theorem fails
• Steenbrink-type vanishing for surfaces in positive characteristic
• Vanishing theorems for threefolds in characteristic p>5
• On the Kawamata-Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic
• On Kawamata-Viehweg Vanishing for Surfaces of del Pezzo type over imperfect fields