Integral Grothendieck-Riemann-Roch theorem

Details Integral Grothendieck-Riemann-Roch theorem Integral Grothendieck-Riemann-Roch theorem

2007-03-11

arxiv.org/abs/math/0703305v1

Mathematics

Algebraic Geometry

24 pages

Scientific paper

10.1007/s00222-007-0067-9

We show that, in characteristic zero, the obvious integral version of the Grothendieck-Riemann-Roch formula obtained by clearing the denominators of the Todd and Chern characters is true (without having to divide the Chow groups by their torsion subgroups). The proof introduces an alternative to Grothendieck's strategy: we use resolution of singularities and the weak factorization theorem for birational maps.

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