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 differentials over arbitrary algebraically closed fields.
Jets via Hasse-Schmidt Derivations
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
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.
fields
math.AG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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.
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Generalized algebraic Morse inequalities and Hasse-Schmidt jet differentials
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 differentials over arbitrary algebraically closed fields.
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The singular locus of a GL-variety
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.