Configuration spaces and the topology of curves in projective space (Q2765026)
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scientific article; zbMATH DE number 1693651
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Configuration spaces and the topology of curves in projective space |
scientific article; zbMATH DE number 1693651 |
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22 January 2002
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fundamental groups
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Riemann surface
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complex projective space
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0.92179024
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0.91819745
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0.9116256
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0.90952945
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Configuration spaces and the topology of curves in projective space (English)
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This paper studies the fundamental groups of the spaces \(\text{Hol}_k(C,P^n)\) and \(\text{Hol}^*_k(C,P^n)\) of holomorphic maps of a genus \(g\) Riemann surface \(C\) into the complex projective space \(P^n\) having degree \(k\), with * being base point preserving maps. The main assertion is that these coincide with the fundamental groups of the spaces \(\text{Map}_k (C,P^n)\) and \(\text{Map}_k^*(C,P^n)\) of all maps.NEWLINENEWLINEFor the entire collection see [Zbl 0972.00054].
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