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Singularities of dual varieties in characteristic 3 - MaRDI portal

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Singularities of dual varieties in characteristic 3 (Q2503118)

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scientific article; zbMATH DE number 5286707
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English
Singularities of dual varieties in characteristic 3
scientific article; zbMATH DE number 5286707

    Statements

    Singularities of dual varieties in characteristic 3 (English)
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    14 September 2006
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    11 June 2008
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    The author studies the discriminant variety associated to a linear system of divisors (and hence the singularities of a general plane section of the dual variety of a smooth projective variety) when the field has characteristic \(3\). He shows that singular points of \(E_6\)-type take the place of ordinary cusps appearing in the characteristic \(0\) case. He also quotes a preprint of his [\texttt{http://www.math.hokudai.ac.jp/\(\sim\)shimada/preprints}] concerning the characteristic \(2\) case.
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    dual variety
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    discriminant variety
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    reflexive variety
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    characteristic 3
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