Results 131 to 140 of about 351,042 (257)

Relative and absolute Lefschetz standard conjectures for some Lagrangian fibrations

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We show that the hyper‐Kähler varieties of OG10‐type constructed by Laza–Saccà–Voisin (LSV) verify the Lefschetz standard conjecture. This is an application of a more general result, stating that certain Lagrangian fibrations verify this conjecture. The main technical assumption of this general result is that the Lagrangian fibration satisfies
Giuseppe Ancona   +3 more
wiley   +1 more source

On a common refinement of Stark units and Gross–Stark units

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract The purpose of this paper is to formulate and study a common refinement of a version of Stark's conjecture and its p$p$‐adic analogue, in terms of Fontaine's p$p$‐adic period ring. We construct period‐ring‐valued functions under a generalization of Yoshida's conjecture on the transcendental parts of CM‐periods.
Tomokazu Kashio
wiley   +1 more source

Some applications of canonical metrics to Landau–Ginzburg models

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract It is known that a given smooth del Pezzo surface or Fano threefold X$X$ admits a choice of log Calabi–Yau compactified mirror toric Landau–Ginzburg model (with respect to certain fixed Kähler classes and Gorenstein toric degenerations).
Jacopo Stoppa
wiley   +1 more source

Density functions for epsilon multiplicity and families of ideals

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract A density function for an algebraic invariant is a measurable function on R$\mathbb {R}$ which measures the invariant on an R$\mathbb {R}$‐scale. This function carries a lot more information related to the invariant without seeking extra data.
Suprajo Das   +2 more
wiley   +1 more source

Lattices in function fields and applications

open access: yesMathematika, Volume 71, Issue 2, April 2025.
Abstract In recent decades, the use of ideas from Minkowski's Geometry of Numbers has gained recognition as a helpful tool in bounding the number of solutions to modular congruences with variables from short intervals. In 1941, Mahler introduced an analogue to the Geometry of Numbers in function fields over finite fields.
Christian Bagshaw, Bryce Kerr
wiley   +1 more source

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