On defectivity of families of full-dimensional point configurations
Abstrak
The mixed discriminant of a family of point configurations can be considered as a generalization of the A A -discriminant of one Laurent polynomial to a family of Laurent polynomials. Generalizing the concept of defectivity, a family of point configurations is called defective if the mixed discriminant is trivial. Using a recent criterion by Furukawa and Ito we give a necessary condition for defectivity of a family in the case that all point configurations are full-dimensional. This implies the conjecture by Cattani, Cueto, Dickenstein, Di Rocco, and Sturmfels that a family of n n full-dimensional configurations in Z n {\mathbb {Z}}^n is defective if and only if the mixed volume of the convex hulls of its elements is 1 1 .
Penulis (2)
Christopher Borger
Benjamin Nill
Akses Cepat
- Tahun Terbit
- 2020
- Bahasa
- en
- Total Sitasi
- 1×
- Sumber Database
- CrossRef
- DOI
- 10.1090/bproc/46
- Akses
- Open Access ✓