Results 51 to 60 of about 336,860 (179)
Rational points on even‐dimensional Fermat cubics
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
A generalization of Max Noether’s theorem
Max Noether’s theorem asserts that if ω \omega is the dualizing sheaf of a nonsingular nonhyperelliptic projective curve, then the natural morphisms Sym n H 0 (
Renato Martins
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Felix Klein and David Hilbert Prevented a Göttingen Appointment of Johannes Stark
During World War I, the Göttingen mathematicians, led by Felix Klein and David Hilbert, prevented Johannes Stark, a Göttingen trained experimental physicist, from being appointed Professor there. A particularly revealing letter dated July 1, 1915, presented in full and contextualized, reveals Stark's egocentric character, his dismissive attitude toward
Renate Tobies, Tilman Sauer
wiley +1 more source
Transformations, symmetries and Noether theorems for differential-difference equations [PDF]
The first part of this paper develops a geometric setting for differential-difference equations that resolves an open question about the extent to which continuous symmetries can depend on discrete independent variables.
Peng, Linyu +3 more
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This paper studies the second extended Calogero-Bogoyavlenskii-Schiff (eCBS) equation in (2+1)–dimensions, which was proposed in the literature a short time ago.
Chaudry Masood Khalique, Anila Mehmood
doaj +1 more source
A tropical version of Martens' theorem for metric graphs
Abstract We study the conjecture stated by Jensen and Len on a tropical version on Martens' theorem via the Brill–Noether rank of a tropical curve. We recall Coppens' counterexample of Martens‐special chain of cycles, and we generalize the construction defining another class of graphs, Martens‐special trees of cycles, for which the conjecture does not ...
Giusi Capobianco, Angelina Zheng
wiley +1 more source
Reissner-Nodstrom Solution and Energy-Momentum Density’s Conservation Law
We find Reissner-Nodstrom solution hold by the energy-momentum density’s conservation law(Noether’s theorem) of electromagnetic field in general relativity ...
Sangwha Yi
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Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative U(1) gauge theory
This article focuses on three main contributions. Firstly, we provide an in-depth overview of the nonlocal Lagrangian formalism. Secondly, we introduce an extended version of the second Noether’s theorem tailored for nonlocal Lagrangians.
Carlos Heredia, Josep Llosa
doaj +1 more source
Gravitational Radiation From Binary Systems With Time Varying Masses
We extend the standard approach pioneered in the works by Peters and Mathews to include the mass loss processes of the binary components, by obtaining the variations due to gravitational radiation of the main physical parameters. As an application of our results we consider gravitational radiation emission in binary magnetar systems.
Teodora M. Matei +2 more
wiley +1 more source
A generalized Noether theorem for scaling symmetry
International audienceThe recently discovered conserved quantity associated with Kepler rescaling is generalized by an extension of Noether’s theorem which involves the classical action integral as an additional term.
Horvathy, P.A. +3 more
core +1 more source

