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Commuting differential operators of rank 3 associated to a curve of genus 2 - MaRDI portal

Commuting differential operators of rank 3 associated to a curve of genus 2 (Q352306)

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scientific article; zbMATH DE number 6184271
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English
Commuting differential operators of rank 3 associated to a curve of genus 2
scientific article; zbMATH DE number 6184271

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    Commuting differential operators of rank 3 associated to a curve of genus 2 (English)
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    4 July 2013
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    By using a \(\sigma\)-invariance to simplify the Krichever-Novikov system, the author constructs examples of commuting differential operators \(L_1\) and \(L_2\) of rank \(3\) with rational coefficients corresponding to a singular curve \(\widetilde{\Gamma}\), which is birationally equivalent to a smooth curve \(\Gamma\) of genus \(2\).
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    commuting differential operators
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    rank 3
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    genus 2
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