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The Artin-Springer Theorem for quadratic forms over semi-local rings with finite residue fields

Proceedings of the American Mathematical Society, 2017
Let $R$ be a commutative and unital semi-local ring in which 2 is invertible. In this note, we show that anisotropic quadratic spaces over $R$ remain anisotropic after base change to any odd-degree finite étale extension of $R$. This generalization of the classical Artin-Springer theorem (concerning the situation where $R$ is a field) was previously ...
openaire   +3 more sources

Adjoint <i>L</i>-functions, congruence ideals, and Selmer groups over GL n. [PDF]

Res Number Theory
Fong HL.
europepmc   +1 more source

Most totally real fields do not have universal forms or the Northcott property. [PDF]

Proc Natl Acad Sci U S A
Daans N, Kala V, Man SH, Widmer M, Yatsyna P.   +4 more
europepmc   +1 more source

Quadratic Euler characteristic of symmetric powers of curves. [PDF]

Manuscr Math
Bröring LF, Viergever AM.
europepmc   +1 more source

Mechanism-Driven Green Extraction of Plant Polyphenols: From Molecular Interactions to Process Integration and Intelligent Optimization. [PDF]

Plants (Basel)
Yuan S, Zhao W, Wang Y, Dong H, Song K, Shi D.   +5 more
europepmc   +1 more source

Consumer credit evaluation model for free trade ports by a sparse attention transformer and graph neural network. [PDF]

Sci Rep
Wu M, Sabri MF, Meng C, Wang S.
europepmc   +1 more source

A Fourier-Jacobi Dirichlet series for cusp forms on orthogonal groups. [PDF]

Res Number Theory
Psyroukis R.
europepmc   +1 more source

Unlikely intersections on the p-adic formal ball. [PDF]

Res Number Theory, 2023
Serban V.
europepmc   +1 more source

Roadmap on singular optics and its applications. [PDF]

Appl Phys B
Balasubramaniam GM, Allam SR, Anand V, Ansari MH, Arockiaraj FG, Arnon S, Badavath PS, Baliyan M, Bouchal P, Bouchal Z, Choudhary S, Dorrah AH, Duan Y, Everts K, Forbes A, Foreman MR, Gailevičius D, Gautam A, Gbur G, Gopinath S, Joshi N, Juodkazis S, Korotkova O, Kukli K, Kupferman J, Kumar P, Kumar R, Kumar V, Manavalan G, Mehra A, Nishchal NK, Omatsu T, Peters C, Reddy ANK, Reddy SG, Rodríguez-Fajardo V, Rosales-Guzmán C, Rosen J, Sarita, Shikder A, Singh RK, Su X, Tamm A, Velagala G, Viewegh P, Vilardell EP, Willner AE, Xavier API, Yadav A, Zhou H.   +49 more
europepmc   +1 more source

Information-Theoretic Perspectives on Chemical Problems: Recent Developments and Applications. [PDF]

Entropy (Basel)
Poddar A, Chattaraj PK.
europepmc   +1 more source