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JACOBIAN CONJECTURE, TWO-DIMENSIONAL CASE
The Jacobian Conjecture was first formulated by O. Keller in 1939. In the modern form it supposes injectivity of the polynomial mapping f: R^n → R^n (C^n → C^n) provided that jacobian J_f ≡ const ≠ 0.
V. V. Starkov
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In this paper we give examples of smooth projective curves whose Jacobians are isogenus to a product of an arbitrarily high number of ...
Carocca, Angel +2 more
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Completely Decomposable Jacobian Varieties in New Genera [PDF]
We present a new technique to study Jacobian variety decompositions using subgroups of the automorphism group of the curve and the corresponding intermediate covers.
J. Paulhus, A. Rojas
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Inverse modeling of circular lattices via orbit response measurements in the presence of degeneracy
The number and location of beam position monitors (BPMs) and steerers with respect to the quadrupoles in a circular lattice can lead to degeneracy in the context of fitting linear optics and extracting lattice information from measured closed orbits ...
D. Vilsmeier, R. Singh, M. Bai
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A hyper-K\"ahler compactification of the Intermediate Jacobian fibration associated to a cubic fourfold [PDF]
For a general cubic fourfold, it was observed by Donagi and Markman that the relative intermediate Jacobian fibration associated to the family of its hyperplane sections carries a natural holomorphic symplectic form making the fibration Lagrangian.
R. Laza, Giulia Saccà, C. Voisin
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Hochschild cohomology versus the Jacobian ring and the Torelli theorem for cubic fourfolds [PDF]
The Jacobian ring J(X) of a smooth hypersurface determines its isomorphism type. This has been used by Donagi and others to prove the generic global Torelli theorem for hypersurfaces in many cases. In Voisin's original proof of the global Torelli theorem
D. Huybrechts, J. Rennemo
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A new implementation for online calculation of manipulator Jacobian.
This paper describes a new implementation for calculating Jacobian and its time derivative for robot manipulators in real-time. The estimation of Jacobian is the key in the real-time implementation of kinematics and dynamics of complex planar or spatial ...
Pramod Chembrammel +1 more
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Unscented Particle Filter for Online Total Image Jacobian Matrix Estimation in Robot Visual Servoing
The main purpose of visual servoing is to control the motion of a robot system based on visual information provided by one or more cameras. It is an important research topic in the robotics community.
Fasheng Wang +4 more
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Universal compactified Jacobians
In this paper we describe compactifications of the universal Jacobian stack of line bundles over smooth curves obtained by considering open substacks of the moduli stack of torsion-free rank-1 simple sheaves on reduced curves of given genus.
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A finite-difference method for linearization in nonlinear estimation algorithms [PDF]
Linearizations of nonlinear functions that are based on Jacobian matrices often cannot be applied in practical applications of nonlinear estimation techniques. An alternative linearization method is presented in this paper.
Tor S. Schei
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