Quadratic singularities of the Pfaffian theta divisor of a Prym variety (Q1060260)

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scientific article; zbMATH DE number 3906631
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Quadratic singularities of the Pfaffian theta divisor of a Prym variety
scientific article; zbMATH DE number 3906631

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    Quadratic singularities of the Pfaffian theta divisor of a Prym variety (English)
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    1982
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    A geometric description is given for the tangent cone to a Pfaffian quadratic singularity of the theta-divisor of the Prym variety for a given two-sheeted non-ramified covering of non-singular curves. A class of singularities with tangent cone of rank 5 is also considered which are close to Mumford singularities.
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    Pfaffian quadratic singularity
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    theta-divisor of the Prym variety
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    singularities with tangent cone
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    Mumford singularities
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