The compactified jacobian can be nonreduced
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🧮 math.AG
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compactifiedexamplejacobiannonreducedanswersarithmeticcurvecyril
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We prove by explicit example that the compactified jacobian can be nonreduced. The example is a rational space curve of arithmetic genus 4. This answers a question posed by Cyril D'Souza in 1979.
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