Results 31 to 40 of about 406,000 (79)
Explicit height estimates for CM curves of genus 2
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract In this paper, we make explicit the constants of Habegger and Pazuki's work from 2017 on bounding the discriminant of cyclic Galois CM fields corresponding to genus 2 curves with CM and potentially good reduction outside a predefined set of primes. We also simplify some of the arguments.
Linda Frey +2 more
wiley +1 more source
Normal covering numbers for Sn$S_n$ and An$A_n$ and additive combinatorics
Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3307-3325, November 2025.Abstract The normal covering number γ(G)$\gamma (G)$ of a noncyclic group G$G$ is the minimum number of proper subgroups whose conjugates cover the group. We give various estimates for γ(Sn)$\gamma (S_n)$ and γ(An)$\gamma (A_n)$ depending on the arithmetic structure of n$n$. In particular we determine the limsups over γ(Sn)/n$\gamma (S_n) / n$ and γ(An)
Sean Eberhard, Connor Mellon
wiley +1 more source
The geometry and arithmetic of bielliptic Picard curves
Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.Abstract We study the geometry and arithmetic of the curves C:y3=x4+ax2+b$C \colon y^3 = x^4 + ax^2 + b$ and their associated Prym abelian surfaces P$P$. We prove a Torelli‐type theorem in this context and give a geometric proof of the fact that P$P$ has quaternionic multiplication by the quaternion order of discriminant 6.
Jef Laga, Ari Shnidman
wiley +1 more source
Effective descent maps of topological spaces
, 1994 The basic technique in A. Joyal's and M. Tierney's work on “An extension of the Galois theory of Grothendieck” is descent theory for morphisms of locales (in a topos).
J. Reiterman, W. Tholen
semanticscholar +1 more source
Motivic p$p$‐adic tame cohomology
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3194-3210, October 2025.Abstract We construct a comparison functor between (A1$\mathbf {A}^1$‐local) tame motives and (□¯${\overline{\square }}$‐local) log‐étale motives over a field k$k$ of positive characteristic. This generalizes Binda–Park–Østvær's comparison for the Nisnevich topology.
Alberto Merici
wiley +1 more source
Taking limits in topological recursion
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract When does topological recursion applied to a family of spectral curves commute with taking limits? This problem is subtle, especially when the ramification structure of the spectral curve changes at the limit point. We provide sufficient (straightforward‐to‐use) conditions for checking when the commutation with limits holds, thereby closing a ...
Gaëtan Borot +4 more
wiley +1 more source
Constraining the Source Craters of Apollo Impact Melts
Journal of Geophysical Research: Planets, Volume 130, Issue 8, August 2025.Abstract Interpreting the age distribution of Apollo samples to determine the early bombardment history of the Moon has been fraught with controversy, and the question of how much material from large impact basins such as Imbrium is present in the Apollo sample collection remains unresolved. Here, we model impact melt production and transportation over
A. M. Blevins +5 more
wiley +1 more source
Generating frequent itemsets incrementally: two novel approaches based on Galois lattice theory
Journal of experimental and theoretical artificial intelligence (Print), 2002 Petko Valtchev +3 more
semanticscholar +1 more source
Extended Galois theory and dissonant morphisms
, 1999 G. Janelidze, W. Tholen
semanticscholar +1 more source
The First Lectures in Italy on Galois Theory: Bologna, 1886–1887
, 1999 L. Martini
semanticscholar +1 more source