Differential Weil descent

2020/03/05 by Sánchez, Omar León, Tressl, Marcus
#12H05 #14A99 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2003.02886

Abstract

In this short note a differential version of the classical Weil descent is established in all characteristics. This yields a ready-to-deploy tool of differential restriction of scalars for differential varieties over finite differential field extensions.

Related

• Differential Weil Descent and Differentially Large Fields
• Simplicial Differential Calculus, Divided Differences, and Construction of Weil Functors
• Descent identities, Hessenberg varieties, and the Weil conjectures
• Descent for Algebraic Schemes
• Galois theory of differential schemes