In mathematics, the Hodge index theorem for an algebraic surface V determines the signature of the intersection pairing on the algebraic curves C on V...

Hodge theorem may refer to: Hodge theory Hodge index theorem This disambiguation page lists mathematics articles associated with the same title. If an...

Royal Society in 1974. He died in Cambridge on 7 July 1975. The Hodge index theorem was a result on the intersection number theory for curves on an algebraic...

quadratic form. This theorem is proven using the Nakai criterion and the Riemann-Roch theorem for surfaces. The Hodge index theorem is used in Deligne's...

work by establishing results such as a Riemann-Roch theorem, a Noether formula, a Hodge index theorem and the nonnegativity of the self-intersection of...

(mathematical analysis) Hodge index theorem (algebraic surfaces) Hohenberg–Kohn theorems (density functional theory) Hölder's theorem (mathematical analysis)...

In differential geometry, the Atiyah–Singer index theorem, proved by Michael Atiyah and Isadore Singer (1963), states that for an elliptic differential...

Nakano vanishing theorems, the Lefschetz hyperplane theorem, Hard Lefschetz theorem, Hodge-Riemann bilinear relations, and Hodge index theorem. On a Riemannian...

hyperplane theorem, the hard Lefschetz theorem, the Hodge-Riemann bilinear relations, and the Hodge index theorem. They are also, again combined with Hodge theory...

∈ Pic ⁡ ( X ) {\displaystyle u\in \operatorname {Pic} (X)} . The Hodge index theorem implies that the Picard lattice of an algebraic K3 surface has signature...