Results 1 to 10 of about 32,013 (211)
Open Mathematics, 2014 This article is about polynomial maps with a certain symmetry and/or antisymmetry in their Jacobians, and whether the Jacobian Conjecture is satisfied for such maps, or whether it is sufficient to prove the Jacobian Conjecture for such maps.
Bondt Michiel
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Cubic surfaces and cubic threefolds, jacobians and intermediate jacobians [PDF]
, 2006 In this paper we study principally polarized complex abelian varieties that admit an automorphism of order 3. It turns out that certain natural conditions on the multiplicities of its action on the differentials of the first kind do guarantee that those polarized varieties are not jacobians of curves.
Yuri G. Zarhin
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Revisiting the Rytov approximation in diffuse optics and its applications for the inverse and forward problems [PDF]
Scientific ReportsWe propose an overview of the Rytov approximation in diffuse optics of biological tissues, for the inverse and forward problems. First, we show a physical interpretation of the Rytov approximation as a type of partial pathlength (named fluence rate ...
Angelo Sassaroli +3 more
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The minimum and maximum number of rational points on jacobian surfaces over finite fields [PDF]
, 2010 We give some bounds on the numbers of rational points on abelian varieties and jacobians varieties over finite fields. The main result is that we determine the maximum and minimum number of rational points on jacobians varieties of dimension ...
Safia Haloui
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Gushel--Mukai varieties: intermediate Jacobians [PDF]
Épijournal de Géométrie Algébrique, 2020 We describe intermediate Jacobians of Gushel-Mukai varieties $X$ of dimensions 3 or 5: if $A$ is the Lagrangian space associated with $X$, we prove that the intermediate Jacobian of $X$ is isomorphic to the Albanese variety of the canonical double ...
Olivier Debarre, Alexander Kuznetsov
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The $a$-number of jacobians of certain maximal curves [PDF]
Transactions on Combinatorics, 2021 In this paper, we compute a formula for the $a$-number of certain maximal curves given by the equation $y^{q}+y=x^{\frac{q+1}{2}}$ over the finite field $\mathbb{F}_{q^2}$.
vahid Nourozi +2 more
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Remote Sensing, 2022 For a variational data assimilation (DA) system that assimilates radiance observations, the simulated brightness temperature (BT) at the top of the atmosphere and the corresponding Jacobians carried out by the radiance observation operator are needed ...
Shih-Wei Wei +7 more
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Dimensional Synthesis of a Novel 3-URU Translational Manipulator Implemented through a Novel Method
Robotics, 2022 A dimensional synthesis of parallel manipulators (PMs) consists of determining the values of the geometric parameters that affect the platform motion so that a useful workspace with assigned sizes can be suitably located in a free-from-singularity region
Raffaele Di Gregorio
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Shimura subvarieties via endomorphisms
Comptes Rendus. Mathématique, 2022 We prove that there exist two families in $\mathcal{M}_2, \mathcal{M}_3$ of non-Galois covers of the projective line whose Jacobians trace out Shimura subvarieties of $\mathcal{A}_2, \mathcal{A}_3$. They provide the first two explicit examples of Shimura
Spelta, Irene
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A Deep-Learning-Based Microwave Radiative Transfer Emulator for Data Assimilation and Remote Sensing
IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2022 In this article, we introduce a fully connected deep neural network algorithm to emulate the Community Cadiative Transfer Model (FCDN_CRTM) simulation of brightness temperatures (BTs) from the Advanced Technology Microwave Sounder (ATMS) channels for ...
Xingming Liang +5 more
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