Mixed Hodge structures and Weierstrass $\sigma$-function
| Autor: | Banaszak, Grzegorz, Milewski, Jan |
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| Rok vydání: | 2012 |
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| Druh dokumentu: | Working Paper |
| Popis: | A $\sigma$-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 $\sigma (A) = 0$ where $\sigma (z)$ denotes the Weierstrass $\sigma$-function. In this paper we define the notion of the strongly pseudo-real $\sigma$-operator and prove that there is one to one correspondence between real mixed Hodge structures and strongly pseudo-real $\sigma$-operators. Comment: 5 pages |
| Databáze: | arXiv |
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