Singularities of Dual Varieties in Characteristic 3 |
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Authors: | Ichiro Shimada |
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Institution: | (1) Division of Mathematics, Graduate School of Science, Hokkaido University, Sapporo 060-0810, Japan |
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Abstract: | We investigate singularities of a general plane section of the dual variety of a smooth projective variety, or more generally, the discriminant variety associated with a linear system of divisors on a smooth projective variety. We show that, in characteristic 3, singular points of E
6-type take the place of ordinary cusps in characteristic 0. |
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Keywords: | Dual variety Discriminant variety Positive characteristic |
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