Determinants of Cauchy-Riemann operators on a Riemann surface (Q1082501)
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scientific article; zbMATH DE number 3973311
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Determinants of Cauchy-Riemann operators on a Riemann surface |
scientific article; zbMATH DE number 3973311 |
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Determinants of Cauchy-Riemann operators on a Riemann surface (English)
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1985
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The author considers on a smooth vector bundle over a compact Riemann surface the space of \(\overline{\partial}\) operators (corresponding to the possible complex structures) and constructs on this space a determinant by using the concepts of a determinant line bundle and the determinant of an elliptic operator.
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determinants of Cauchy-Riemann operators
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determinant line bundle
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determinant of an elliptic operator
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