Prime form

id: prime-form-287-10127976
title: Prime form
text: In algebraic geometry, the Schottky–Klein prime form E(x,y) of a compact Riemann surface X depends on two elements x and y of X, and vanishes if and only if x = y. The prime form E is not quite a holomorphic function on X × X, but is a section of a holomorphic line bundle over this space. Prime forms were introduced by Friedrich Schottky and Felix Klein. Prime forms can be used to construct meromorphic functions on X with given poles and zeros. If Σniai is a divisor linearly equivalent to 0, the
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original url: https://en.wikipedia.org/wiki/Prime_form
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date modified: 2023-08-12T00:33:57Z
main entity: {"identifier":"Q7243370","url":"https://www.wikidata.org/entity/Q7243370"}
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