Results 21 to 30 of about 76 (76)
The relative Hodge–Tate spectral sequence for rigid analytic spaces
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We construct a relative Hodge–Tate spectral sequence for any smooth proper morphism of rigid analytic spaces over a perfectoid field extension of Qp$\mathbb {Q}_p$. To this end, we generalise Scholze's strategy in the absolute case by using smoothoid adic spaces.
Ben Heuer
wiley +1 more source
Mathematika, Volume 71, Issue 4, October 2025.Abstract Let E$E$ be an elliptic curve defined over Q${\mathbb {Q}}$, and let K$K$ be an imaginary quadratic field. Consider an odd prime p$p$ at which E$E$ has good supersingular reduction with ap(E)=0$a_p(E)=0$ and which is inert in K$K$. Under the assumption that the signed Selmer groups are cotorsion modules over the corresponding Iwasawa algebra ...
Erman Işik, Antonio Lei
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Parity of ranks of Jacobians of curves
Proceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.Abstract We investigate Selmer groups of Jacobians of curves that admit an action of a non‐trivial group of automorphisms, and give applications to the study of the parity of Selmer ranks. Under the Shafarevich–Tate conjecture, we give an expression for the parity of the Mordell–Weil rank of an arbitrary Jacobian in terms of purely local invariants ...
Vladimir Dokchitser +3 more
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G$G$‐typical Witt vectors with coefficients and the norm
Journal of Topology, Volume 18, Issue 3, September 2025.Abstract For a profinite group G$G$ we describe an abelian group WG(R;M)$W_G(R; M)$ of G$G$‐typical Witt vectors with coefficients in an R$R$‐module M$M$ (where R$R$ is a commutative ring). This simultaneously generalises the ring WG(R)$W_G(R)$ of Dress and Siebeneicher and the Witt vectors with coefficients W(R;M)$W(R; M)$ of Dotto, Krause, Nikolaus ...
Thomas Read
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Thurston obstructions and tropical geometry
Bulletin of the London Mathematical Society, Volume 57, Issue 8, Page 2404-2428, August 2025.Abstract We describe an application of tropical moduli spaces to complex dynamics. A post‐critically finite branched covering φ$\varphi$ of S2$S^2$ induces a pullback map on the Teichmüller space of complex structures of S2$S^2$; this descends to an algebraic correspondence on the moduli space of point‐configurations of P1$\mathbb {P}^1$.
Rohini Ramadas
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Coloured shuffle compatibility, Hadamard products, and ask zeta functions
Bulletin of the London Mathematical Society, Volume 57, Issue 7, Page 2132-2154, July 2025.Abstract We devise an explicit method for computing combinatorial formulae for Hadamard products of certain rational generating functions. The latter arise naturally when studying so‐called ask zeta functions of direct sums of modules of matrices or class‐ and orbit‐counting zeta functions of direct products of nilpotent groups.
Angela Carnevale +2 more
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Hilbert–Kunz multiplicity of powers of ideals in dimension two
Bulletin of the London Mathematical Society, Volume 57, Issue 7, Page 2155-2176, July 2025.Abstract We study the behavior of the Hilbert–Kunz multiplicity of powers of an ideal in a local ring. In dimension 2, we provide answers to some problems raised by Smirnov, and give a criterion to answer one of his questions in terms of a “Ratliff–Rush version” of the Hilbert–Kunz multiplicity.
Alessandro De Stefani +3 more
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The 2‐divisibility of divisors on K3 surfaces in characteristic 2
Mathematische Nachrichten, Volume 298, Issue 6, Page 1964-1988, June 2025.Abstract We show that K3 surfaces in characteristic 2 can admit sets of n$n$ disjoint smooth rational curves whose sum is divisible by 2 in the Picard group, for each n=8,12,16,20$n=8,12,16,20$. More precisely, all values occur on supersingular K3 surfaces, with exceptions only at Artin invariants 1 and 10, while on K3 surfaces of finite height, only n=
Toshiyuki Katsura +2 more
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The Iwasawa invariants of Zpd${\mathbb {Z}}_{p}^{\,d}$‐covers of links
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract Let p$p$ be a prime number and let d∈Z>0$d\in {\mathbb {Z}}_{>0}$. In this paper, following the analogy between knots and primes, we study the p$p$‐torsion growth in a compatible system of (Z/pnZ)d$({\mathbb {Z}}/p^n{\mathbb {Z}})^d$‐covers of 3‐manifolds and establish several analogues of Cuoco–Monsky's multivariable versions of Iwasawa's ...
Sohei Tateno, Jun Ueki
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The Eisenstein ideal at prime-square level has constant rank. [PDF]
Proc Natl Acad Sci U S ALang J, Wake P.
europepmc +1 more source