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- Arithmetic_genus abstract "In mathematics, the arithmetic genus of an algebraic variety is one of some possible generalizations of the genus of an algebraic curve or Riemann surface.The arithmetic genus of a complex projective manifold of dimension n can be defined as a combination of Hodge numbers, namelypa = hn,0 − hn − 1, 0 + ... + (−1)n − 1h1, 0.When n = 1 we have χ = 1 − g where g is the usual (topological) meaning of genus of a surface, so the definitions are compatible.By using hp,q = hq,p for compact Kähler manifolds this can be reformulated as the Euler characteristic in coherent cohomology for the structure sheaf This definition therefore can be applied to some other locally ringed spaces.".
- Arithmetic_genus wikiPageID "1950390".
- Arithmetic_genus wikiPageRevisionID "567702412".
- Arithmetic_genus hasPhotoCollection Arithmetic_genus.
- Arithmetic_genus subject Category:Topological_methods_of_algebraic_geometry.
- Arithmetic_genus type Ability105616246.
- Arithmetic_genus type Abstraction100002137.
- Arithmetic_genus type Cognition100023271.
- Arithmetic_genus type Know-how105616786.
- Arithmetic_genus type Method105660268.
- Arithmetic_genus type PsychologicalFeature100023100.
- Arithmetic_genus type TopologicalMethodsOfAlgebraicGeometry.
- Arithmetic_genus comment "In mathematics, the arithmetic genus of an algebraic variety is one of some possible generalizations of the genus of an algebraic curve or Riemann surface.The arithmetic genus of a complex projective manifold of dimension n can be defined as a combination of Hodge numbers, namelypa = hn,0 − hn − 1, 0 + ...".
- Arithmetic_genus label "Arithmetic genus".
- Arithmetic_genus sameAs 산술종수.
- Arithmetic_genus sameAs m.068c6x.
- Arithmetic_genus sameAs Q4791125.
- Arithmetic_genus sameAs Q4791125.
- Arithmetic_genus sameAs Arithmetic_genus.
- Arithmetic_genus wasDerivedFrom Arithmetic_genus?oldid=567702412.
- Arithmetic_genus isPrimaryTopicOf Arithmetic_genus.