5 citations · 9 across the 3 of their papers we have counts for
4 papers · 1 filter
Chern Numbers of Smooth Varieties via Homotopy Continuation and Intersection Theory
Sandra Di Rocco, David Eklund, Chris Petersen +1
Homotopy continuation provides a numerical tool for computing the equivalence of a smooth variety in an intersection product. Intersection theory provides a theoretical tool for re…
Non-Defectivity of Grassmannians of planes
Hirotachi Abo, Giorgio Ottaviani, Chris Peterson
Let be the Plücker embedding of the Grassmann variety of projective -planes in . For a projective variety , let denote the variety of its secant…
Induction for secant varieties of Segre varieties
Hirotachi Abo, Giorgio Ottaviani, Chris Peterson
This paper studies the dimension of secant varieties to Segre varieties. The problem is cast both in the setting of tensor algebra and in the setting of algebraic geometry. An indu…
Implementation of Kumar's correspondence
Hirotachi Abo, Chris Peterson
In 1997, N.M. Kumar published a paper which introduced a new tool of use in the construction of algebraic vector bundles. Given a vector bundle on projective n-space, a well known…