Geometric interplay between function subspaces and their rings of differential operators

DOI10.1090/S0002-9947-06-03949-3zbMath1126.14020arXivmath/0403409OpenAlexW2591689466WikidataQ115289085 ScholiaQ115289085MaRDI QIDQ3420392

Rikard Bøgvad, Rolf Källström

Publication date: 1 February 2007

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

Full work available at URL: https://arxiv.org/abs/math/0403409

zbMATH Keywords

toric varietiesWeierstrass pointsprincipal parts bundlesTaylor maps

Mathematics Subject Classification ID

Cites Work

• The geometry of algebraic groups
• Classification of linear differential operators with an invariant subspace of monomials
• The Lie algebraic structure of differential operators admitting invariant spaces of polynomials
• Generation of \(k\)-jets on toric varieties
• Differential operators on toric varieties
• Quasi-exactly-solvable problems and sl(2) algebra
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Introduction to Toric Varieties. (AM-131)
• Some intrinsic and extrinsic characterizations of the projective space
• Invariants under tori of rings of differential operators and related topics
• Geometric Invariant Theory
• Rings of differential operators on toric varieties
• Lie-algebras and linear operators with invariant subspaces
• On the Points of Weierstrass in Dimensions Greater Than One
• Invariant modules and the reduction of nonlinear partial differential equations to dynamical systems
• Inflections of toric varieties.
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