Results 11 to 20 of about 761 (208)
Witt rings of quadratically presentable fields [PDF]
, 2020 This paper introduces an approach to the axiomatic theory of quadratic forms based on presentable partially ordered sets, that is partially ordered sets subject to additional conditions which amount to a strong form of local presentability. It turns out
Gładki, Paweł, Worytkiewicz, Krzysztof
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Disorder Driven Anisotropic Nonlinear Hall Effect in the Kagome Metal YbCo<sub>6</sub>Ge<sub>6</sub> at Room Temperature. [PDF]
Adv Sci (Weinh)The intrinsic structural disorder and short‐range correlated motifs in the kagome metal YbCo6Ge6 constitute the primary mechanism for a robust and anisotropic nonlinear Hall effect (NLHE). This effect is sustained across a wide temperature range, achieving a nonlinear responsivity of up to ∼4.5 × 10−3 m/V at 70 K, higher than known disordered and ...
Ain QU +11 more
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On the Grothendieck-Serre conjecture on principal bundles in mixed characteristic [PDF]
, 2021 Let R be a regular local ring. Let G be a reductive R-group scheme. A conjecture of Grothendieck and Serre predicts that a principal G-bundle over R is trivial if it is trivial over the quotient field of R. The conjecture is known when R contains a field.
Fedorov, R., Fedorov, Roman
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, 2021 This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders, a subject with applications in diverse areas of mathematics. Written to be accessible and approachable to the graduate student reader,
Voight, John
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Annihilating Polynomials for Quadratic Forms [PDF]
, 2010 Let K be a field with char(K) ≠ 2. The Witt-Grothendieck ring (K) and the Witt ring W (K) of K are both quotients of the group ring ℤ[𝓖(K)], where 𝓖(K) := K*/(K*)2 is the square class group of K.
Rühl, Klaas-Tido
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Witt equivalence of function fields of conics [PDF]
, 2020 Two fields are Witt equivalent if, roughly speaking, they have the same quadratic form theory. Formally, that is to say that their Witt rings of symmetric bilinear forms are isomorphic.
Marshall, M., Gladki, P.
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Uniform existential definitions of valuations in function fields in one variable [PDF]
, 2023 We study function fields of curves over a base field $K$ which is either a global field or a large field having a separable field extension of degree divisible by $4$.
Dittmann, Philip +2 more
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Representation zeta functions of compact p-adic analytic groups and arithmetic groups [PDF]
, 2013 We introduce new methods from p-adic integration into the study of representation zeta functions associated to compact p-adic analytic groups and arithmetic groups.
Onn, Uri +3 more
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Local-global principles for witt rings [PDF]
, 1993 This paper investigates the connection between the Witt and Witt-Grothendieck rings of a field K and the corresponding rings of a given collection K of separable algebraic extensions of K.
Efrat, Ido
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FRONTMATTER Forum mathematicum (Rights reserved) (-) Inhomogeneous Khintchine–Groshev-type theorems on manifolds over function fields / Das, Sourav (Rights reserved) (-) Rational points in Cantor sets and spectral eigenvalue problem for self-
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