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arxiv: math/0407113 · v3 · pith:35AUE56Dnew · submitted 2004-07-07 · 🧮 math.AG

Jets via Hasse-Schmidt Derivations

classification 🧮 math.AG
keywords differentialshasse-schmidtspacesapproachconcretederivationsdiscussiondivided
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This note is intended to provide a general reference for jet spaces and jet differentials, valid in maximal generality (at the level of EGA). The approach is rather concrete, using Hasse-Schmidt (divided) higher differentials. Discussion of projectivized jet spaces (as in Green and Griffiths (1980)) is included.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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    Introduces generalized algebraic Morse inequalities to give a fully algebraic proof of Demailly's theorem on Green-Griffiths jet differentials for manifolds of general type, with an extension to Hasse-Schmidt jet diff...

  2. The singular locus of a GL-variety

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    The paper supplies intrinsic characterizations of the singular locus of GL-varieties that confirm the correctness of a prior candidate definition based on auxiliary varieties.