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Jets via Hasse-Schmidt Derivations

代数几何 2013-01-10 v3

摘要

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.

引用

@article{arxiv.math/0407113,
  title  = {Jets via Hasse-Schmidt Derivations},
  author = {Paul Vojta},
  journal= {arXiv preprint arXiv:math/0407113},
  year   = {2013}
}

备注

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