Waring loci and the Strassen conjecture

30 Jan 2017  ·  Carlini Enrico, Catalisano Maria Virginia, Oneto Alessandro ·

The Waring locus of a form F is the collection of the degree one forms appearing in some minimal sum of powers decomposition of F. In this paper, we give a complete description of Waring loci for several family of forms, such as quadrics, monomials, binary forms and plane cubics. We also introduce a Waring loci version of Strassen's Conjecture, which implies the original conjecture, and we prove it in many cases...

PDF Abstract
No code implementations yet. Submit your code now

Categories


Algebraic Geometry Commutative Algebra