Abstract In this 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.
A. Buium (1994)
Differential algebra and diophantine geometry
(1990)
N eron Models, Volume 21 of Ergebnisse Der Mathematik Und Ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)
M. Singer (1978)
A class of differential fields with minimal differential closures, 69
Weil descent pages (with applications to cryptography
J. Milne (1972)
On the arithmetic of abelian varietiesInventiones mathematicae, 17
E. Riehl, Dominic Verity (2018)
∞-Categories for the Working Mathematician
A. Grothendieck (1960)
Technique de descente et théorèmes d'existence en géométrie algébrique. I. Généralités. Descente par morphismes fidèlement plats, 5
E. Kolchin (2012)
Differential Algebra and Algebraic Groups
A. Weil (1982)
Adeles and algebraic groups
F. Pop (1996)
Embedding problems over large fieldsAnnals of Mathematics, 144
H. Matsumura, M. Reid (1989)
Commutative Ring Theory
Sam Lichtenstein (2011)
NÉRON MODELS
O. Sánchez, Rahim Moosa (2014)
THE MODEL COMPANION OF DIFFERENTIAL FIELDS WITH FREE OPERATORSThe Journal of Symbolic Logic, 81
Rahim Moosa, T. Scanlon (2008)
Jet and prolongation spacesJournal of the Institute of Mathematics of Jussieu, 9
Abstract In this 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.
Communications in Algebra – Taylor & Francis
Published: Jan 17, 2022
Keywords: Differential algebras; Weil descent; 12H05; 14A99
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