Singularities of duals of Grassmannians

@article{Holweck2011SingularitiesOD,
  title={Singularities of duals of Grassmannians},
  author={Fr'ed'eric Holweck},
  journal={arXiv: Algebraic Geometry},
  year={2011}
}
  • Fr'ed'eric Holweck
  • Published 2011
  • Mathematics
  • arXiv: Algebraic Geometry
  • Let $X$ be a smooth irreducible nondegenerate projective variety and let $X^*$ denote its dual variety. It is well known that $\sigma_2(X)^*$, the dual of the 2-secant variety of $X$, is a component of the singular locus of $X^*$. The locus of bitangent hyperplanes, i.e. hyperplanes tangent to at least two points of $X$, is a component of the sigular locus of $X^*$. In this paper we provide a sufficient condition for this component to be of maximal dimension and show how it can be used to… CONTINUE READING

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