Results 31 to 40 of about 3,722 (78)
Arithmetic Satake compactifications and algebraic Drinfeld modular forms
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract In this article, we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away from the level structure, and show that the universal family extends uniquely to a generalized Drinfeld module over the compactification.
Urs Hartl, Chia‐Fu Yu
wiley +1 more source
New building blocks for F1${\mathbb {F}}_1$‐geometry: Bands and band schemes
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We develop and study a generalization of commutative rings called bands, along with the corresponding geometric theory of band schemes. Bands generalize both hyperrings, in the sense of Krasner, and partial fields in the sense of Semple and Whittle.
Matthew Baker +2 more
wiley +1 more source
Lattices in function fields and applications
Mathematika, 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
Super stable tensegrities and the Colin de Verdière number ν
Journal of Graph Theory, Volume 108, Issue 3, Page 401-431, March 2025.Abstract A super stable tensegrity introduced by Connelly in 1982 is a globally rigid discrete structure made from stiff bars and struts connected by cables with tension. We introduce the super stability number of a multigraph as the maximum dimension that a multigraph can be realized as a super stable tensegrity, and show that it equals the Colin de ...
Ryoshun Oba, Shin‐ichi Tanigawa
wiley +1 more source
Euler characteristics of affine ADE Nakajima quiver varieties via collapsing fibres
Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.Abstract We prove a universal substitution formula that compares generating series of Euler characteristics of Nakajima quiver varieties associated with affine ADE diagrams at generic and at certain non‐generic stability conditions via a study of collapsing fibres in the associated variation of GIT map, unifying and generalising earlier results of the ...
Lukas Bertsch +2 more
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Gromov–Witten invariants of bielliptic surfaces
Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.Abstract Bielliptic surfaces appear as a quotient of a product of two elliptic curves and were classified by Bagnera–Franchis. We give a concrete way of computing their GW‐invariants with point insertions using a floor diagram algorithm. Using the latter, we are able to prove the quasi‐modularity of their generating series by relating them to ...
Thomas Blomme
wiley +1 more source
Orthopseudorings and congruences on distributive lattice with dual weak complementation. [PDF]
Heliyon, 2023 Rezk EG.
europepmc +1 more source
Soft Substructures in Quantales and Their Approximations Based on Soft Relations. [PDF]
Comput Intell Neurosci, 2022 Zhou H +5 more
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
p-adic vertex operator algebras. [PDF]
Res Number Theory, 2023 Franc C, Mason G.
europepmc +1 more source