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Osculatory behavior and second dual varieties of Del Pezzo surfaces

Published/Copyright: January 23, 2006
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Advances in Geometry
From the journal Volume 1 Issue 4

Let S be a smooth surface embedded in a projective space, whose general osculating space has the expected dimension. Inside the dual variety of S one can consider the second discriminant locus, which parametrizes the hyperplane sections of S having some singular point of multiplicity ≥3. In this paper the various components of the second discriminant loci of Del Pezzo surfaces are investigated from a unifying point of view. This allows us to describe the second dual varieties of such surfaces and to understand their singular loci.

Published Online: 2006-01-23
Published in Print: 2001-11-09

Copyright © 2001 by Walter de Gruyter GmbH & Co. KG

Articles in the same Issue

  1. Generalizing flocks of Q+(3,q)
  2. Topological and smooth unitals
  3. Osculatory behavior and second dual varieties of Del Pezzo surfaces
  4. A rank 3 tangent complex of PSp4(q), q odd
  5. On the string-theoretic Euler number of 3-dimensional A-D-E singularities
https://doi.org/10.1515/advg.2001.021

Articles in the same Issue

  1. Generalizing flocks of Q+(3,q)
  2. Topological and smooth unitals
  3. Osculatory behavior and second dual varieties of Del Pezzo surfaces
  4. A rank 3 tangent complex of PSp4(q), q odd
  5. On the string-theoretic Euler number of 3-dimensional A-D-E singularities
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