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Secant Degree of Toric Surfaces and Delightful Planar Toric Degenerations
Toric varieties secant varieties degenerations polytopes
2011/1/20
The k-secant degree is studied with a combinatorial approach. A planar toric degeneration of any projective toric surface X corresponds to a regular unimodular trian-gulation D of the polytope definin...
For m 2 N,m 1, we determine the irreducible components of the m − th jet scheme of a toric
surface S. For m big enough, we connect the number of a class of these irreducible components to the...
Universal Polynomials for Severi Degrees of Toric Surfaces
Enumerative geometry toric surfaces Gromov-Witten theory
2011/2/25
The Severi variety parameterizes plane curves of degree d with nodes.Its degree is called the Severi degree. For large enough d, the Severi degrees coincide with the Gromov-Witten invariants of CP2....