Mathematical constants | Vector bundles | Algebraic varieties

Seshadri constant

In algebraic geometry, a Seshadri constant is an invariant of an ample line bundle L at a point P on an algebraic variety. It was introduced by Demailly to measure a certain rate of growth, of the tensor powers of L, in terms of the jets of the sections of the Lk. The object was the study of the Fujita conjecture. The name is in honour of the Indian mathematician C. S. Seshadri. It is known that Nagata's conjecture on algebraic curves is equivalent to the assertion that for more than nine general points, the Seshadri constants of the projective plane are maximal. There is a general conjecture for algebraic surfaces, the Nagata–Biran conjecture. (Wikipedia).

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Related pages

Section (category theory) | Abelian variety | Fujita conjecture | C. S. Seshadri | Jean-Pierre Demailly | Ample line bundle | Projective plane | Projective variety | Intersection number | Algebraic geometry | Jet (mathematics) | Algebraic variety | Nagata–Biran conjecture