Bertini theorems for differential algebraic geometry

DOI10.1090/proc/13588arXiv1211.0972OpenAlexW2963890721WikidataQ115290819 ScholiaQ115290819MaRDI QIDQ6061705

James Freitag

Publication date: 31 October 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.0972

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Differential algebra (12H05) Applications of model theory (03C98)

Cites Work

• Completeness in partial differential algebraic geometry
• A course in model theory. An introduction to contemporary mathematical logic. Transl. from the French by Moses Klein
• Indecomposability for differential algebraic groups
• On Linear Dependence Over Complete Differential Algebraic Varieties
• Intersection theory in differential algebraic geometry: Generic intersections and the differential Chow form
• Differential arcs and regular types in differential fields
• Jet and prolongation spaces
• Differential Dimension Polynomials of Finitely Generated Extensions
• Geometry of Differential Polynomial Functions, II: Algebraic Curves
• The model theory of differential fields with finitely many commuting derivations
• Model Theory
• Some applications of ordinal dimensions to the theory of differentially closed fields
• Differential Chow varieties exist
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