The mixed Hodge structure on the fundamental group of a punctured Riemann surface (Q2701618)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The mixed Hodge structure on the fundamental group of a punctured Riemann surface |
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The mixed Hodge structure on the fundamental group of a punctured Riemann surface (English)
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19 February 2001
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fundamental group
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mixed Hodge structure
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Riemann surface
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A punctured Riemann surface \(X\) with puncture \(q\) and base point \(p\) is the complement \(\overline X-\{q\}\) of a point \(q\) in a compact Riemann surface \(\overline X\) together with some point \(p\) on \(X\). The fundamental group \(\pi_1 (\overline X-\{q\},p)\) admits a mixed Hodge structure. This is used to prove a Torelli theorem for punctured Riemann surfaces.
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