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- Brill–Noether_theory abstract "In the theory of algebraic curves, Brill–Noether theory, introduced by Brill and Noether (1874), is the study of special divisors, certain divisors on a curve C that determine more compatible functions than would be predicted. In classical language, special divisors move on the curve in a "larger than expected" linear system of divisors.The condition to be a special divisor D can be formulated in sheaf cohomology terms, as the non-vanishing of the H1 cohomology of the sheaf of the sections of the invertible sheaf or line bundle associated to D. This means that, by the Riemann–Roch theorem, the H0 cohomology or space of holomorphic sections is larger than expected. Alternatively, by Serre duality, the condition is that there exist holomorphic differentials with divisor ≥ −D on the curve.".
- Brill–Noether_theory wikiPageID "599865".
- Brill–Noether_theory wikiPageRevisionID "597395999".
- Brill–Noether_theory author1Link "Alexander von Brill".
- Brill–Noether_theory author2Link "Max Noether".
- Brill–Noether_theory b "d".
- Brill–Noether_theory last "Brill".
- Brill–Noether_theory last "Noether".
- Brill–Noether_theory p "r".
- Brill–Noether_theory year "1874".
- Brill–Noether_theory subject Category:Algebraic_curves.
- Brill–Noether_theory subject Category:Algebraic_surfaces.
- Brill–Noether_theory comment "In the theory of algebraic curves, Brill–Noether theory, introduced by Brill and Noether (1874), is the study of special divisors, certain divisors on a curve C that determine more compatible functions than would be predicted.".
- Brill–Noether_theory label "Brill–Noether theory".
- Brill–Noether_theory label "Diviseur spécial".
- Brill–Noether_theory sameAs Brill%E2%80%93Noether_theory.
- Brill–Noether_theory sameAs Diviseur_spécial.
- Brill–Noether_theory sameAs Q3032324.
- Brill–Noether_theory sameAs Q3032324.
- Brill–Noether_theory wasDerivedFrom Brill–Noether_theory?oldid=597395999.