16 citations · 44 across the 7 of their papers we have counts for
10 papers
Segre Class Computation and Practical Applications
Corey Harris, Martin Helmer
Let be closed (possibly singular) subschemes of a smooth projective toric variety . We show how to compute the Segre class as a class in the Chow group of…
The Geometry of SDP-Exactness in Quadratic Optimization
Diego Cifuentes, Corey Harris, Bernd Sturmfels
Consider the problem of minimizing a quadratic objective subject to quadratic equations. We study the semialgebraic region of objective functions for which this problem is solved b…
Computing images of polynomial maps
Corey Harris, Mateusz Michałek, Emre Can Sertöz
The image of a polynomial map is a constructible set. While computing its closure is standard in computer algebra systems, a procedure for computing the constructible set itself is…
The Euclidean distance degree of smooth complex projective varieties
Paolo Aluffi, Corey Harris
We obtain several formulas for the Euclidean distance degree (ED degree) of an arbitrary nonsingular variety in projective space: in terms of Chern and Segre classes, Milnor classe…
The Chern-Mather class of the multiview variety
Corey Harris, Daniel Lowengrub
The multiview variety associated to a collection of cameras records which sequences of image points in can be obtained by taking pictures of a given world poi…
Tritangent planes to space sextics: the algebraic and tropical stories
Corey Harris, Yoav Len
We discuss the classical problem of counting planes tangent to general canonical sextic curves at three points. We determine the number of real tritangents when such a curve is rea…
Equations and tropicalization of Enriques surfaces
Barbara Bolognese, Corey Harris, Joachim Jelisiejew
In this article we explicitly compute equations of an Enriques surface via the involution on a K3 surface. We also discuss its tropicalization and compute the tropical homology, th…
Computing Segre classes in arbitrary projective varieties
Corey Harris
We give an algorithm for computing Segre classes of subschemes of arbitrary projective varieties by computing degrees of a sequence of linear projections. Based on the fact that Se…
Classification of the monomial Cremona transformations of the plane
Corey Harris
We classify all monomial planar Cremona maps by multidegree using recent methods developed by Aluffi. Following the main result, we prove several more properties of the set of thes…
Monomial principalization in the singular setting
Corey Harris
We generalize an algorithm by Goward for principalization of monomial ideals in nonsingular varieties to work on any scheme of finite type over a field. The normal crossings condit…