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Статті в журналах з теми "Multiprojective space":
FAVACCHIO, GIUSEPPE, and JUAN MIGLIORE. "Multiprojective spaces and the arithmetically Cohen–Macaulay property." Mathematical Proceedings of the Cambridge Philosophical Society 166, no. 3 (April 3, 2018): 583–97. http://dx.doi.org/10.1017/s0305004118000142.
Dogan, M. Levent, Alperen A. Ergür, and Elias Tsigaridas. "On the Complexity of Chow and Hurwitz Forms." ACM Communications in Computer Algebra 57, no. 4 (December 2023): 167–99. http://dx.doi.org/10.1145/3653002.3653003.
Guardo, Elena, and Adam Van Tuyl. "Separators of points in a multiprojective space." manuscripta mathematica 126, no. 1 (February 6, 2008): 99–113. http://dx.doi.org/10.1007/s00229-008-0165-z.
Guardo, Elena, and Adam Van Tuyl. "ACM sets of points in multiprojective space." Collectanea mathematica 59, no. 2 (June 2008): 191–213. http://dx.doi.org/10.1007/bf03191367.
Costa, L., and R. M. Miró-Roig. "m-Blocks Collections and Castelnuovo-mumford Regularity in multiprojective spaces." Nagoya Mathematical Journal 186 (2007): 119–55. http://dx.doi.org/10.1017/s0027763000009387.
Miyazaki, Chikashi. "A cohomological criterion for splitting of vector bundles on multiprojective space." Proceedings of the American Mathematical Society 143, no. 4 (November 24, 2014): 1435–40. http://dx.doi.org/10.1090/s0002-9939-2014-12347-1.
Miyazaki, Chikashi. "Buchsbaum criterion of Segre products of vector bundles on multiprojective space." Journal of Algebra 467 (December 2016): 47–57. http://dx.doi.org/10.1016/j.jalgebra.2016.06.037.
Ballico, Edoardo. "Terracini Loci: Dimension and Description of Its Components." Mathematics 11, no. 22 (November 20, 2023): 4702. http://dx.doi.org/10.3390/math11224702.
Ballico, Edoardo. "Terracini Loci of Segre Varieties." Symmetry 14, no. 11 (November 17, 2022): 2440. http://dx.doi.org/10.3390/sym14112440.
Francisco, Christopher A., and Adam Van Tuyl. "Some Families of Componentwise Linear Monomial Ideals." Nagoya Mathematical Journal 187 (September 2007): 115–56. http://dx.doi.org/10.1017/s0027763000025873.
Дисертації з теми "Multiprojective space":
González-Mazón, Pablo. "Méthodes effectives pour les transformations birationnelles multilinéaires et contributions à l'analyse polynomiale de données." Electronic Thesis or Diss., Université Côte d'Azur, 2023. http://www.theses.fr/2023COAZ4138.
This thesis explores two distinct subjects at the intersection of commutative algebra, algebraic geometry, multilinear algebra, and computer-aided geometric design:1. The study and effective construction of multilinear birational maps2. The extraction of information from measures and data using polynomialsThe primary and most extensive part of this work is devoted to multilinear birational maps.A multilinear birational map is a rational map phi: (mathbb{P}^1)^n dashrightarrow{} mathbb{P}^n, defined by multilinear polynomials, which admits an inverse rational map. Birational transformations between projective spaces have been a central theme in algebraic geometry, tracing back to the seminal works of Cremona, which has witnessed significant advancement in the last decades. Additionally, there has been a recent surge of interest in tensor-product birational maps, driven by the study of multiprojective spaces in commutative algebra and their practical application in computer-aided geometric design.In the first part, we address algebraic and geometric aspects of multilinear birational maps.We primarily focus on trilinear birational maps phi: (mathbb{P}^1)^3 dashrightarrow{} mathbb{P}^3, that we classify according to the algebraic structure of their space, base loci, and the minimal graded free resolutions of the ideal generated by the defining polynomials. Furthermore, we develop the first methods for constructing and manipulating nonlinear birational maps in 3D with sufficient flexibility for geometric modeling and design.Interestingly, we discover a characterization of birationality based on tensor rank, which yields effective constructions and opens the door to the application of tools from tensors to birationality. We also extend our results to multilinear birational maps in arbitrary dimension, in the case that there is a multilinear inverse.In the second part, our focus shifts to the application of polynomials in analyzing data and measures.We tackle two distinct problems. Firstly, we derive bounds for the size of (1-epsilon)-nets for superlevel sets of real polynomials. Our results allow us to extend the classical centerpoint theorem to polynomial inequalities of higher degree. Secondly, we address the classification of real cylinders through five-point configurations where four points are cocyclic, i.e. they lie on a circumference. This is an instance of the more general problems of real root classification of systems of real polynomials and the extraction of algebraic primitives from raw data
Частини книг з теми "Multiprojective space":
Chiantini, Luca, and Duccio Sacchi. "Segre Functions in Multiprojective Spaces and Tensor Analysis." In From Classical to Modern Algebraic Geometry, 361–74. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-32994-9_8.