Self-intersection 0-cycles and coherent sheaves on arithmetic schemes



Duke Mathematical Journal

Self-intersection $0$-cycles and coherent sheaves on arithmetic schemes

Takeshi Saito

Source: Duke Math. J. Volume 57, Number 2 (1988), 555-578.

First Page PDF: View first page of article (PDF, 93 KB)

Primary Subjects: 14G20
Secondary Subjects: 11G45, 14C17, 14C25

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077307049
Mathematical Reviews number (MathSciNet): MR962520
Zentralblatt MATH identifier: 0687.14004
Digital Object Identifier: doi:10.1215/S0012-7094-88-05725-0

References

[1] P. Berthelot, A. Grothendieck, and L. Illusie, Théorie des Intersections et Théorème de Riemann-Roch, Springer Lecture Notes in Math., vol. 225, Springer-Verlag, Berlin-Heidelberg-New York, 1971.
Mathematical Reviews (MathSciNet): MR50:7133
Zentralblatt MATH: 0218.14001
[2] S. Bloch, Cycles on arithmetic schemes and Euler characteristics of curves, Algebraic Geometry, Bowdoin, 1985 (Brunswick, Maine, 1985), Proc. Sympos. Pure Math., vol. 46, Amer. Math. Soc., Providence, RI, 1987, pp. 421–450.
Mathematical Reviews (MathSciNet): MR89b:14014
Zentralblatt MATH: 0654.14004
[3] S. Bloch, de Rham cohomology and conductors of curves, Duke Math. J. 54 (1987), no. 2, 295–308.
Mathematical Reviews (MathSciNet): MR89h:11028
Zentralblatt MATH: 0632.14018
Digital Object Identifier: doi:10.1215/S0012-7094-87-05417-2
Project Euclid: euclid.dmj/1077305665
[4] N. Bourbaki, Éléments de mathématique. Algèbre. Chapitres 1 à 3, Hermann, Paris, 1970.
Mathematical Reviews (MathSciNet): MR43:2
[5] W. Fulton, Intersection Theory, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 2, Springer-Verlag, Berlin-Heidelberg-New York-Tokyo, 1984.
Mathematical Reviews (MathSciNet): MR85k:14004
Zentralblatt MATH: 0541.14005
[6] L. Illusie, Complexe Cotangent et Déformations I, Springer Lecture Notes in Math., vol. 239, Springer-Verlag, Berlin-Heidelberg-New York, 1971.
Mathematical Reviews (MathSciNet): MR58:10886a
Zentralblatt MATH: 0224.13014

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