Results 41 to 50 of about 699 (113)

Lefschetz decompositions of Kudla–Millson theta functions

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract In the 1980s Kudla and Millson introduced a theta function in two variables. It behaves as a Siegel modular form with respect to the first variable, and is a closed differential form on an orthogonal Shimura variety X$X$ with respect to the other variable. We prove that the Lefschetz decomposition of the cohomology class of that theta function
Jan Hendrik Bruinier, Riccardo Zuffetti
wiley   +1 more source

The asymptotic Mahler measure of Gaussian periods

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of their conductor, to find that the growth rate is the (multivariate) Mahler measure of a family of log Calabi–Yau varieties of increasing dimension.
Gunther Cornelissen, David Hokken, Berend Ringeling   +2 more
wiley   +1 more source

The Effect of Topological Properties of Commutative Algebraic Rings on Local Cohomology Modules

This research investigates the effect of topological properties of commutative algebraic rings on local cohomology modules. The main goal is to analyze in detail the relationship between Zariski topology, localization, and topological stability with the structure and properties of local cohomology modules.
openaire   +2 more sources

Intersection Theorem for DG-modules over non-positive DG-rings

Proceedings of the Royal Society of Edinburgh. Section A Mathematics
By extending some basic results about cohomological dimension of tensor products to non-positive DG-rings, the Intersection Theorem for DG-modules is examined over commutative noetherian local DG-rings with bounded cohomology.
Xiao-Yang Yang
semanticscholar   +1 more source

Polytope Novikov homology. [PDF]

J Fixed Point Theory Appl, 2021
Pellegrini A.
europepmc   +1 more source

The local motivic DT/PT correspondence. [PDF]

J Lond Math Soc, 2021
Davison B, Ricolfi AT.
europepmc   +1 more source

An Euler system for GU(2, 1). [PDF]

Math Ann, 2022
Loeffler D, Skinner C, Zerbes SL.
europepmc   +1 more source

Unlikely intersections on the p-adic formal ball. [PDF]

Res Number Theory, 2023
Serban V.
europepmc   +1 more source

Ordinary varieties with trivial canonical bundle are not uniruled. [PDF]

Math Ann, 2021
Patakfalvi Z, Zdanowicz M.
europepmc   +1 more source

Arithmetic statistics of Prym surfaces. [PDF]

Math Ann, 2023
Laga J.
europepmc   +1 more source