5 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
6 papers · 1 filter
ForeignFunctions package for Macaulay2
Douglas A. Torrance
We introduce the ForeignFunctions package for Macaulay2, which uses libffi to provide the ability to call functions from external libraries without needing to link against them at…
Geometry of first nonempty Terracini loci
Francesco Galuppi, Pierpaola Santarsiero, Douglas A. Torrance +1
After a few results on curves, we characterize the smallest nonempty Terracini loci of Veronese and Segre-Veronese varieties. For del Pezzo surfaces, we give a full description of…
Probability package for Macaulay2
Douglas A. Torrance
We introduce the Probability package for Macaulay2, which provides an interface for users to compute probabilities and generate random variates from a wide variety of univariate pr…
Almost all subgeneric third-order Chow decompositions are identifiable
Douglas A. Torrance, Nick Vannieuwenhoven
For real and complex homogeneous cubic polyomials in variables, we prove that the Chow variety of products of linear forms is generically complex identifiable for all ranks u…
All secant varieties of the Chow variety are nondefective for cubics and quaternary forms
Douglas A. Torrance, Nick Vannieuwenhoven
The Chow rank of a form is the length of its smallest decomposition into a sum of products of linear forms. For a generic form, this corresponds to finding the smallest secant vari…
Generic forms of low Chow rank
Douglas A. Torrance
The least number of products of linear forms that may be added together to obtain a given form is the Chow rank of this form. The Chow rank of a generic form corresponds to the sma…