Problems of fields on super Riemann surfaces (Q1812868)
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scientific article; zbMATH DE number 4533
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Problems of fields on super Riemann surfaces |
scientific article; zbMATH DE number 4533 |
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Problems of fields on super Riemann surfaces (English)
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25 June 1992
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The author discusses an approach to the computation of modules of global sections of line bundles on super Riemann surfaces (SUSY curves), e.g. the modules of functions or \(j\)-superdifferentials. The main result is the possibility of nonfreeness of modules of regular \(j\)- superdifferentials in the cases \(j=-1,0,1,2\). The main technique employed is a spectral sequence connected with the filtration by degrees of the nilpotent ideal. The second term of this spectral sequence is calculated.
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global sections of line bundles
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super Riemann surfaces
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j- superdifferentials
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spectral sequence
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