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arXiv · 1211.0687

Mixed Hodge structures and Weierstrass $σ$-function

Grzegorz Banaszak·Jan Milewski
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Abstract

A $σ$-operator on a complexification $V_{\C}$ of an $\R$-vector space $V_{\R}$ is an operator $A \in \rm{End}_{\C} (V_{\C})$ such that $σ(A) = 0$ where $σ(z)$ denotes the Weierstrass $σ$-function. In this paper we define the notion of the strongly pseudo-real $σ$-operator and prove that there is one to one correspondence between real mixed Hodge structures and strongly pseudo-real $σ$-operators.

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Grzegorz Banaszak, Jan Milewski. 2012-11-04. Mixed Hodge structures and Weierstrass $σ$-function. https://arxiv.org/abs/1211.0687

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