DetRepOfCubicDiscriminant.m2 swMATH ID: 36391 Software Authors: D. Bunnett, H. Keneshlou Description: Macaulay2 file DetRepOfCubicDiscriminant.m2: contains supporting codes for the computational proofs in the paper ’Determinantal representations of the cubic discriminant. We compute and study two determinantal representations of the discriminant of a cubic quaternary form. The first representation is the Chow form of the 2-uple embedding of ℙ3 and is computed as the Pfaffian of the Chow form of a rank 2 Ulrich bundle on this Veronese variety. We then consider the determinantal representation described by [E. J. Nanson, Proc. R. Soc. Edinburgh 22, 353–358 (1899; JFM 30.0161.09)]. We investigate the geometric nature of cubic surfaces whose discriminant matrices satisfy certain rank conditions. As a special case of interest, we use certain minors of this matrix to suggest equations vanishing on the locus of k -nodal cubic surfaces Homepage: https://lematematiche.dmi.unict.it/index.php/lematematiche/article/view/1997 Source Code: https://github.com/Hanieh14/CubicSurfaces/blob/master/DetRepOfCubicDiscriminant.m2 Dependencies: Macaulay2 Related Software: CubicSurfaces; GitHub; Macaulay2; HomotopyContinuation Cited in: 2 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Determinantal representations of the cubic discriminant. Zbl 1451.14167Bunnett, Dominic; Keneshlou, Hanieh 2020 Cited by 4 Authors 1 Bunnett, Dominic 1 Keneshlou, Hanieh 1 Ranestad, Kristian 1 Sturmfels, Bernd Cited in 1 Serial 2 Le Matematiche Cited in 1 Field 2 Algebraic geometry (14-XX) Citations by Year