Hirzebruch–Riemann–Roch theorem

In mathematics, the Hirzebruch–Riemann–Roch theorem, named after Friedrich Hirzebruch, Bernhard Riemann, and Gustav Roch, is Hirzebruch's 1954 result generalizing the classical Riemann–Roch theorem on Riemann surfaces to all complex algebraic varieties of higher dimensions. The result paved the way for the Grothendieck–Hirzebruch–Riemann–Roch theorem proved about three years later.

Hirzebruch–Riemann–Roch theorem
FieldAlgebraic geometry
First proof byFriedrich Hirzebruch
First proof in1954
GeneralizationsAtiyah–Singer index theorem
Grothendieck–Riemann–Roch theorem
ConsequencesRiemann–Roch theorem
Riemann–Roch theorem for surfaces
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