e/Geometric genus

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has glosseng: In algebraic geometry, the geometric genus is a basic birational invariant pg of algebraic varieties, defined for non-singular complex projective varieties (and more generally for complex manifolds) as the Hodge number hn,0 (equal to h0,n by Serre duality). In other words for a variety V of complex dimension n it is the number of linearly independent holomorphic n-forms to be found on V. This definition, as the dimension of
lexicalizationeng: geometric genus
instance ofc/Algebraic varieties

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