Page 1

Displaying 1 – 2 of 2

Showing per page

Singularities of convex hulls as fronts of Legendre varieties

Ilia Bogaevski (1999)

Banach Center Publications

We describe singularities of the convex hull of a generic compact smooth hypersurface in four-dimensional affine space up to diffeomorphism. It turns out that the boundary of the convex hull is the front of a Legendre variety. Its singularities are classified up to contact diffeomorphism.

Symplectic classification of parametric complex plane curves

Goo Ishikawa, Stanisław Janeczko (2010)

Annales Polonici Mathematici

Based on the discovery that the δ-invariant is the symplectic codimension of a parametric plane curve singularity, we classify the simple and uni-modal singularities of parametric plane curves under symplectic equivalence. A new symplectic deformation theory of curve singularities is established, and the corresponding cyclic symplectic moduli spaces are reconstructed as canonical ambient spaces for the diffeomorphism moduli spaces which are no longer Hausdorff spaces.

Currently displaying 1 – 2 of 2

Page 1