Summary
The Grothendieck-Riemann-Roch theorem (GRR) states that for a proper morphism f: X → Y of non-singular varieties,
for all α in the Grothendieck group of vector bundles, or of coherent sheaves, on X. When Y is a point, one recovers Hirzebruch’s formula (HRR) for the Euler characteristic of a vector bundle E on X:
.
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© 1984 Springer-Verlag Berlin Heidelberg
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Fulton, W. (1984). Riemann-Roch for Non-singular Varieties. In: Intersection Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02421-8_16
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DOI: https://doi.org/10.1007/978-3-662-02421-8_16
Publisher Name: Springer, Berlin, Heidelberg
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