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Jets via Hasse-Schmidt Derivations

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arxiv math/0407113 v3 pith:35AUE56D submitted 2004-07-07 math.AG

Paul Vojta This is my paper · ORCID
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. Full citation record

  1. The singular locus of a GL-variety

    math.AG 2026-05 unverdicted novelty 6.0 of 10

    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.

  2. On jet closures of singularities

    math.AC 2025-07 conditional novelty 6.0 of 10

    This paper computes jet closure and jet support closure invariants for monomial, homogeneous and simple curve singularities, and introduces a filtration and jet index measuring when jets recover the ideal.

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