complex, algebraic, variety, algebraic, geometry, complex, algebraic, variety, algebraic, variety, scheme, sense, otherwise, over, field, complex, numbers, riemann, sphere, simplest, complex, algebraic, varieties, contents, chow, theorem, relation, with, simil. In algebraic geometry a complex algebraic variety is an algebraic variety in the scheme sense or otherwise over the field of complex numbers 1 The Riemann sphere is one of the simplest complex algebraic varieties Contents 1 Chow s theorem 2 Relation with similar concepts 3 See also 4 ReferencesChow s theorem EditMain article Chow s theorem Chow s theorem states that a projective analytic variety i e a closed analytic subvariety of the complex projective space C P n displaystyle mathbb C mathbf P n is an algebraic variety it is usually simply referred to as a projective variety Relation with similar concepts EditNot every complex analytic variety is algebraic though See also EditComplex analytic varietyReferences Edit Parshin Alexei N and Igor Rostislavovich Shafarevich eds Algebraic Geometry III Complex Algebraic Varieties Algebraic Curves and Their Jacobians Vol 3 Springer 1998 ISBN 3 540 54681 2 Retrieved from https en wikipedia org w index php title Complex algebraic variety amp oldid 1159979532, wikipedia, wiki, book, books, library,
