Jets via Hasse-Schmidt Derivations

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.

25 pages; amstex. v2: Fixed a problem with Theorem 4.5 (O_Z[[t]] is not quasi-coherent); updated the bibliography. v3: Fixed a mistake in Example 4.13

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