COMPUTATIONAL ASPECTS OF THE HORN–KAPRANOV PARAMETRIZATION
- Authors: Sadykov T.M.1
-
Affiliations:
- Plekhanov Russian University of Economics
- Issue: No 2 (2025)
- Pages: 64-72
- Section: COMPUTER ALGEBRA
- URL: https://journal-vniispk.ru/0132-3474/article/view/292084
- DOI: https://doi.org/10.31857/S0132347425020083
- EDN: https://elibrary.ru/DISCRC
- ID: 292084
Cite item
Abstract
About the authors
T. M. Sadykov
Plekhanov Russian University of Economics
Email: Sadykov.TM@rea.ru
Moscow, Russia
References
- Gelfand I.M., Kapranov M.M., Zelevinsky A.V. Discriminants, Resultants, Multidimensional Determinants. Birkhauser 1994.
- Krasikov V.A., Sadykov T.M. On the analytic complexity of discriminants // Proceedings of the Steklov Institute of Mathematics. 2012. No. 279:1. P. 78–92.
- Huggins P., Sturmfels B., Yu J., Yuster D.S. The hyperdeterminant and triangulations of the 4cube // Mathematics of Computation. 2008. No. 77. P. 1653–1679.
- Horn J. Uber die Konvergenz der hypergeometrischen Reihen zweier und dreier Veranderlichen // Mathematische Annalen. 1889. No. 34. P. 544–600.
- Kapranov M.M. A characterization of A-discriminantal hypersurfaces in terms of the logarithmic Gauss map // Mathematische Annalen. 1991. No. 290:1. P. 277–285.
- Forsgard J. Defective dual varieties for real spectra // Journal of Algebraic Combinatorics. 2019. No. 49. P. 49–67.
- Forsgard J., deWolff T. The algebraic boundary of the SONCcone // SIAM Journal on Applied Algebra and Geometry. 2022. No. 6:3. P. 468–502.
- Filiz I.O., Guo X., Morton J., Sturmfels B. Graphical models for correlated defaults // Mathematical Finance. 2012. No. 22:4. P. 621–644.
- Duarte E., Marigliano O., Sturmfels B. Discrete statistical models with rational maximum likelihood estimator // Bernoulli. 2021. No. 27:1. P. 135–154.
- Amendola C., Bliss N., Burke I., Gibbons C.R., Helmer M., Hosten S., Nash E.D., Rodriguez J.I., Smolkin D. The maximum likelihood degree of toric varieties // Journal of Symbolic Computation. 2019. No. 92. P. 222–242.
- Catanese F., Hosten S., Khetan A., Sturmfels B. The maximum likelihood degree // American Journal of Mathematics. 2006. No. 128:3. P. 671–697.
- Emiris I.Z., Karasoulou A. Sparse discriminants and applications // Springer Proceedings in Mathematics and Statistics. 2014. No. 84. P. 55–71.
- Mikhalkin E.N., Tsikh A.K. Singular strata of cuspidal type for the classical discriminant // Sbornik Mathematics. 2015. No. 206. P. 282–310.
- Tanabe S. On Horn–Kapranov uniformisation of the discriminantal loci // Adv. Stud. Pure Math.
- Singularities in Geometry and Topology. 2004. No. 46. P. 223–249.
- Cueto M.A., Dickenstein A. Some results on inhomogeneous discriminants // Proceedings of the XVI Coloquio Latinoamericano de Algebra. Biblioteca de la Revista Matematica Iberoamericana, Colonia del Sacramento. Uruguay. P. 42–61.
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