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Gysin homomorphism in generalized cohomology theories
Author(s):
A.
A.
Solynin
Translated by:
B. Bekker
Original publication:
Algebra i Analiz,
tom 17
(2005),
vypusk 3.
Journal:
St. Petersburg Math. J.
17
(2006),
511-525.
MSC (2000):
Primary 14F20
Posted:
March 21, 2006
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Additional information
Abstract:
Detailed proofs of three formulas announced by Panin and Smirnov are elaborated upon.
References:
-
- 1.
- J. W. Milnor and J. D. Stasheff, Characteristic classes, Ann. of Math. Stud., No. 76, Princeton Univ. Press, Princeton, NJ, 1974. MR 0440554 (55:13428)
- 2.
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- 3.
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- R. Hartshorne, Algebraic geometry, Grad. Texts in Math., No. 52, Springer-Verlag, New York-Heidelberg, 1977. MR 0463157 (57:3116)
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- I. Panin, Riemann-Roch theorems for oriented cohomology, Axiomatic, Enriched and Motivic Homotopy Theory, NATO Sci. Ser. II Math. Phys. Chem., vol. 131, Kluwer Acad. Publ., Dordrecht, 2004, pp. 261-333. MR 2061857 (2005g:14025)
- 6.
- I. Panin and A. Smirnov, Push-forwards in oriented cohomology theories of algebraic varieties, http://www.math.uiuc.edu/K-theory/0459/, 2000.
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- I. Panin, Push-forwards in oriented cohomology theories of algebraic varieties. II, Preprint POMI no. 17, 2002.
- 8.
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- 11.
- J. Jouanolou, Une suite exacte de Mayer-Vietoris en K-théorie algébrique, Algebraic
-Theory, I: Higher -Theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972), Lecture Notes in Math., vol. 341, Springer, Berlin, 1973, pp. 293-316. MR 0409476 (53:13231) - 12.
- I. Panin, Oriented cohomology theories on algebraic varieties,
-Theory 30 (2003), no. 3, 265-314. MR 2064242 (2005f:14043)
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Additional Information:
A.
A.
Solynin
Email:
a_solynin@mail.ru
DOI:
10.1090/S1061-0022-06-00918-6
PII:
S 1061-0022(06)00918-6
Keywords:
Grothendieck type formula,
highest Chern class,
self-intersection formula,
excess formula
Received by editor(s):
18/SEP/2004
Posted:
March 21, 2006
Copyright of article:
Copyright
2006,
American Mathematical Society
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