Rationality in Differential Algebraic Geometry
Joel Merker (LM-Orsay)
TL;DR
This paper explores the rationality properties of differential algebraic geometry using parametric Cartan theory and cohomology of projective manifolds, revealing interconnected rationality features.
Contribution
It introduces a unified perspective on rationality in differential algebraic geometry through the application of Cartan theory and cohomological methods.
Findings
Revealed interconnected rationality features in differential algebraic geometry.
Linked Cartan theory with cohomology to understand rationality.
Provided new insights into the structure of projective manifolds.
Abstract
Parametric Cartan theory of exterior differential systems, and explicit cohomology of projective manifolds reveal united rationality features of differential algebraic geometry.
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Taxonomy
TopicsAdvanced Topics in Algebra · Nonlinear Waves and Solitons · Homotopy and Cohomology in Algebraic Topology