Localization of differential operators and of higher order de Rham complexes

Gabriele Vezzosi

Rendiconti del Seminario Matematico della Università di Padova (1997)

  • Volume: 97, page 113-133
  • ISSN: 0041-8994

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Vezzosi, Gabriele. "Localization of differential operators and of higher order de Rham complexes." Rendiconti del Seminario Matematico della Università di Padova 97 (1997): 113-133. <http://eudml.org/doc/108418>.

@article{Vezzosi1997,
author = {Vezzosi, Gabriele},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {-localized de Rham complex; cohomological invariants for singular varieties; differential operations; localization functor; higher de Rham complexes},
language = {eng},
pages = {113-133},
publisher = {Seminario Matematico of the University of Padua},
title = {Localization of differential operators and of higher order de Rham complexes},
url = {http://eudml.org/doc/108418},
volume = {97},
year = {1997},
}

TY - JOUR
AU - Vezzosi, Gabriele
TI - Localization of differential operators and of higher order de Rham complexes
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1997
PB - Seminario Matematico of the University of Padua
VL - 97
SP - 113
EP - 133
LA - eng
KW - -localized de Rham complex; cohomological invariants for singular varieties; differential operations; localization functor; higher de Rham complexes
UR - http://eudml.org/doc/108418
ER -

References

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  2. [2] A.V. Bocarov, On the Spencer cohomology of affine algebraic varieties, Soviet Math. Dokl., 21 (1980), pp. 912-916. Zbl0492.14001MR576135
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  4. [4] N. Bourbaki, Eléments de mathématique: Algèbre Ch. X (Algèbre Homologique), Masson, Paris (1980), pp. 43-46. Zbl1105.18001MR643362
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  6. [6] R. Hartshorne, Algebraic Geometry, Springer-Verlag, Berlin (1977). Zbl0367.14001MR463157
  7. [7] I.S. Krasil'schik - V.V. Lychagin - A.M. Vinogradov, Geometry of Jet Spaces and Nonlinear Partial Differential Equations, Gordon and Breach (1986). Zbl0722.35001MR861121
  8. [8] J.P. Lafon, Algèbre commutative, Hermann, Paris (1977). Zbl0369.13001MR460306
  9. [9] H. Matsumura, Commutative Ring Theory, Cambridge Univ. Press, Cambridge (1986). Zbl0603.13001MR879273
  10. [10] G. Vezzosi, Thesis, Università di Firenze, 1994. 
  11. [11] G. Vezzosi - A.M. Vinogradov, On higher order analogs of the de Rham complex, to appear in Acta Applicandae Mathematicae. 
  12. [12] G. Vezzosi - A.M. Vinogradov, On higher analogs of the de Rham complex, Preprint ESI, 202 (1995), Wien, Austria. 
  13. [13] A.M. Vinogradov, The logic algebra for the theory of linear differential operators, Sov. Math. Dokl., 13 (1972), pp. 1058-1062. Zbl0267.58013
  14. [14] A.M. Vinogradov, Some homological systems associated with the differential calculus in commutative algebras, Russian Math. Surveys, 34:6 (1979), pp. 250-255. Zbl0476.58028MR562827
  15. [15] M.M. Vinogradov, On de Rham and Spencer algebraic cohomology of smooth manifolds, Sov. Math. Dokl., 19 (1978), pp. 1220-1224. Zbl0427.14008
  16. [16] M.M. Vinogradov, The theory of residues in commutative algebras, Russ. Math. Surveys, 35:2 (1980), pp. 263-264. Zbl0467.13008MR571652

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