Results 11 to 20 of about 9,476 (202)
Canadian Journal of Mathematics, 2019 AbstractAn intrinsic quadric is a normal projective variety with a Cox ring defined by a single quadratic relation. We provide explicit descriptions of these varieties in the smooth case for small Picard numbers. As applications, we figure out in this setting the Fano examples and (affirmatively) test Fujita’s freeness conjecture.
Fahrner, Anne, Hausen, Jürgen
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Equivariant geometry of odd-dimensional complete intersections of two quadrics [PDF]
Pure and Applied Mathematics Quarterly, 2021 Fix a finite group G. We seek to classify varieties with G-action equivariantly birational to a representation of G on affine or projective space. Our focus is odd-dimensional smooth complete intersections of two quadrics, relating the equivariant ...
B. Hassett, Y. Tschinkel
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Local solubility for a family of quadrics over a split quadric surface [PDF]
Involve. A Journal of Mathematics, 2022 We study the density of everywhere locally soluble diagonal quadric surfaces, parameterised by rational points that lie on a split quadric surface.
T. Browning, J. Lyczak, Roman Sarapin
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Quadratic points on intersections of two quadrics [PDF]
Algebra & Number Theory, 2021 We prove that a smooth complete intersection of two quadrics of dimension at least $2$ over a number field has index dividing $2$, i.e., that it possesses a rational $0$-cycle of degree $2$.
Brendan Creutz, B. Viray
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Unified Representation of Geometric Primitives for Graph-SLAM Optimization Using Decomposed Quadrics [PDF]
IEEE International Conference on Robotics and Automation, 2021 In Simultaneous Localization And Mapping (SLAM) problems, high-level landmarks have the potential to build compact and informative maps compared to traditional point-based landmarks.
Weikun Zhen +3 more
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Complete quadrics: Schubert calculus for Gaussian models and semidefinite programming [PDF]
Journal of the European Mathematical Society (Print), 2020 We establish connections between: the maximum likelihood degree (ML-degree) for linear concentration models, the algebraic degree of semidefinite programming (SDP), and Schubert calculus for complete quadrics. We prove a conjecture by Sturmfels and Uhler
L. Manivel +4 more
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Maximum Likelihood Degree, Complete Quadrics, and ℂ*-Action
SIAM Journal on applied algebra and geometry, 2021 We study the maximum likelihood (ML) degree of linear concentration models in algebraic statistics. We relate it to an intersection problem on the variety of complete quadrics.
M. Michałek +2 more
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QuadricSLAM: Dual Quadrics From Object Detections as Landmarks in Object-Oriented SLAM [PDF]
IEEE Robotics and Automation Letters, 2018 In this letter, we use two-dimensional (2-D) object detections from multiple views to simultaneously estimate a 3-D quadric surface for each object and localize the camera position.
Lachlan Nicholson +2 more
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The geometric sieve for quadrics [PDF]
, 2020 We develop a version of Ekedahl’s geometric sieve for integral quadratic forms of rank at least five. As one ranges over the zeros of such quadratic forms, we use the sieve to compute the density of coprime values of polynomials, and furthermore, to ...
T. Browning, Roger Heath-Brown
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Billiards in confocal quadrics as a Pluri-Lagrangian system [PDF]
Theoretical and Applied Mechanics, 2016 We illustrate the theory of one-dimensional pluri-Lagrangian systems with the example of commuting billiard maps in confocal quadrics.
Suris Yuri B.
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