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Riemann–Roch theorem for surfaces
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<p>In mathematics, the Riemann–Roch theorem for surfaces describes the dimension of linear systems on an <a href="/facts/Algebraic_surface/2zHU0o9J">algebraic surface</a>. The classical form of it was first given by <a href="/facts/Guido_Castelnuovo/WbN14scb">Castelnuovo</a> (1896, 1897), after preliminary versions of it were found by <a href="/facts/Max_Noether/49ecuGxt">Max Noether</a> (1886) and <a href="/facts/Federigo_Enriques/cxtXNB4I">Enriques</a> (1894). The <a href="/facts/Sheaf_(mathematics)/MM3hcRw4">sheaf</a>-theoretic version is due to Hirzebruch. </p>