3 papers
math.AG2015
Power Sum Decompositions of Elementary Symmetric Polynomials
Hwangrae Lee
We bound the tensor ranks of elementary symmetric polynomials, and we give explicit decompositions into powers of linear forms. The bound is attained when the degree is odd.
math.AG2015
Duality of Multiple Root Loci
Hwangrae Lee, Bernd Sturmfels
The multiple root loci among univariate polynomials of degree are indexed by partitions of . We study these loci and their conormal varieties. The projectively dual varietie…
math.AG2014
The Euclidean Distance Degree of Fermat Hypersurfaces
Hwangrae Lee
Finding the point in an algebraic variety that is closest to a given point is an optimization problem with many applications. We study the case when the variety is a Fermat hypersu…