Results 71 to 80 of about 263 (155)
An Extension of Nice Bases on Ulm Subgroups of Primary Abelian Groups
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 Suppose A is an Abelian p-group and is an ordinal such that A/pα A is a direct sum of countable groups. It is shown that A has a nice basis if, and only if, pα A has a nice basis. This strengthens an earlier result of ours in Bull. Allah. Math.
Danchev Peter
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A note on the normality of unramified, abelian extensions of quadratic extensions
Manuscripta Mathematica, 1979 Let F, K and L be algebraic number fields such that\(F \subseteq K \subseteq L\), [K∶F]=2 and [L∶K]=n. It is a simple consequence of the class field theory that, if L is an abelian, unramified extension of K and (n,h)=1, where h is the class number of F, then L is normal over F. The purpose of this note is to point out the necessity of the condition (n,
Madden, Daniel J., Velez, William Yslas
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Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We give a formula with explicit constants relating the subsurface projection dY(ν−,ν+)$d_Y(\nu ^-,\nu ^+)$ of the end invariants ν−,ν+$\nu ^-,\nu ^+$ of a hyperbolic 3‐manifold Q$Q$ diffeomorphic to S×R$S\times \mathbb {R}$ and the length of the geodesic representative in Q$Q$ of the multicurve ∂Y$\partial Y$.
Gabriele Viaggi
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A Lower Bound for the Height in Abelian Extensions
Journal of Number Theory, 2000 It is shown that if \(\alpha\neq 0\) is an element which is not a root of unity, of an abelian extension of the rationals, then its logarithmic height, \(h(\alpha)\) satisfies \(h(\alpha)\geq(\log 5)/12\). This is used to obtain lower bounds for norms and class-numbers in abelian extensions.
AMOROSO F., DVORNICICH, ROBERTO
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
Mathematische Nachrichten, Volume 299, Issue 8, Page 1894-1916, August 2026.ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
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Inducing Coverings on Hilbert Schemes
Mathematische Nachrichten, Volume 299, Issue 8, Page 2177-2190, August 2026.ABSTRACT We find an explicit geometric description of all coverings of Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ when Σ$\Sigma$ is a normal, complex, quasi‐projective surface with finite fundamental group. We then apply this construction to show that if Σ$\Sigma$ is an irreducible symplectic surface then Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ is an ...
Lucas Li Bassi, Filippo Papallo
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Communications in Advanced Mathematical Sciences, 2019 The theory of $p$-ramification, regarding the Galois group of the maximal pro-$p$-extension of a number field $K$, unramified outside $p$ and $\infty$, is well known including numerical experiments with PARI/GP programs.
Georges Gras
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On the positivity and integrality of coefficients of mirror maps
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract We present natural conjectural generalisations of the ‘positivity and integrality of mirror maps’ phenomenon, encompassing the mirror maps appearing in the Batyrev–Borisov construction of mirror Calabi–Yau complete intersections in Fano toric varieties as a special case.
Sophie Bleau, Nick Sheridan
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On a Ramsey–Turán variant of Roth's theorem
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract A classical theorem of Roth states that the maximum size of a solution‐free set of a homogeneous linear equation L$\mathcal {L}$ in Fp$\mathbb {F}_p$ is o(p)$o(p)$ if and only if the sum of the coefficients of L$\mathcal {L}$ is 0. In this paper, we prove a Ramsey–Turán variant of Roth's theorem, with respect to a natural notion of “structured”
Matija Bucić +4 more
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