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On the Riemann-Roch theorem without denominators
Author(s):
O.
B.
Podkopaev;
E.
K.
Shinder
Translated by:
O. B. Podkopaev
Original publication:
Algebra i Analiz,
tom 18
(2006),
nomer 6.
Journal:
St. Petersburg Math. J.
18
(2007),
1021-1027.
MSC (2000):
Primary 14C40
Posted:
October 2, 2007
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Abstract:
A proof of the Riemann-Roch theorem without denominators is given. It is also proved that Grothendieck's ring functor  is not an oriented cohomology pretheory.
References:
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- W. Fulton, Intersection theory, Ergeb. Math. Grenzgeb. (3), Bd. 2, Springer-Verlag, Berlin, 1984. MR 0732620 (85k:14004)
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Additional Information:
O.
B.
Podkopaev
Email:
opodkopaev@gmail.com
E.
K.
Shinder
Email:
shinder@list.ru
DOI:
10.1090/S1061-0022-07-00981-8
PII:
S 1061-0022(07)00981-8
Keywords:
Riemann--Roch formula without denominators,
deformation to the normal cone,
Koszul complex,
Chern classes,
oriented cohomology pretheory
Received by editor(s):
14/JUN/2006
Posted:
October 2, 2007
Additional Notes:
Partially supported by CNRS, France
Copyright of article:
Copyright
2007,
American Mathematical Society
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