Riemann form
id:
riemann-form-20-51603
title:
Riemann form
text:
In mathematics, a Riemann form in the theory of abelian varieties and modular forms, is the following data: A lattice Λ in a complex vector space Cg.
An alternating bilinear form α from Λ to the integers satisfying the following Riemann bilinear relations: the real linear extension αR:Cg × Cg→R of α satisfies αR(iv, iw)=αR(v, w) for all (v, w) in Cg × Cg;
the associated hermitian form H(v, w)=αR(iv, w) + iαR(v, w) is positive-definite. (The hermitian form written here is linear in the first vari
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https://en.wikipedia.org/wiki/Riemann_form
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date modified:
2024-03-30T17:19:42Z
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