KnowraHirzebruch–Riemann–Roch theoremLinked fromLinked fromThe 4 pages that link to Hirzebruch–Riemann–Roch theorem, each with the reason it gives.All 4Related 2Narrower topic 1Compared with 1Riemann–Roch theoremRelated: It generalizes Riemann–Roch from curves to higher-dimensional varieties.Atiyah–Singer index theoremRelated: It is a complex-geometric instance of the index theorem's principle.Grothendieck–Riemann–Roch theoremCompared with: It is the variety-level predecessor whose formula the Grothendieck theorem explains functorially.Riemann–Roch theorem for surfacesNarrower topic: The surface result belongs to the broader Riemann–Roch theory developed in the twentieth century.