Results 111 to 120 of about 60,835 (182)

A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley   +1 more source

On Hodge polynomials for nonalgebraic complex manifolds. [PDF]

Proc Natl Acad Sci U S A
Katzarkov L, Lee KS, Lupercio E, Meersseman L.   +3 more
europepmc   +1 more source

Unitarily invariant valuations on convex functions

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Continuous, dually epi‐translation invariant valuations on the space of finite‐valued convex functions on Cn$\mathbb {C}^n$ that are invariant under the unitary group are investigated. It is shown that elements belonging to the dense subspace of smooth valuations admit a unique integral representation in terms of two families of Monge–Ampère ...
Jonas Knoerr
wiley   +1 more source

Planar bilipschitz extension from separated nets

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We prove that every L$L$‐bilipschitz mapping Z2→R2$\mathbb {Z}^2\rightarrow \mathbb {R}^2$ can be extended to a C(L)$C(L)$‐bilipschitz mapping R2→R2$\mathbb {R}^2\rightarrow \mathbb {R}^2$, and we provide a polynomial upper bound for C(L)$C(L)$. Moreover, we extend the result to every separated net in R2$\mathbb {R}^2$ instead of Z2$\mathbb {Z}
Michael Dymond, Vojtěch Kaluža
wiley   +1 more source

Polynomial Regression on Lie Groups and Application to SE(3). [PDF]

Entropy (Basel)
Aubray J, Nicol F.
europepmc   +1 more source

Traces of Hecke operators on Drinfeld modular forms for GL2(Fq[T])$\operatorname{GL}_2(\mathbb {F}_q[T])$

Mathematika, Volume 72, Issue 2, April 2026.
Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley   +1 more source

Algebraic properties of the maps χ n. [PDF]

Des Codes Cryptogr
Schoone J, Daemen J.
europepmc   +1 more source

Khintchine‐type theorems for weighted uniform inhomogeneous approximations via transference principle

Mathematika, Volume 72, Issue 2, April 2026.
Abstract In 2019 Kleinbock and Wadleigh proved a “zero‐one law” for uniform inhomogeneous Diophantine approximations. We generalize this statement to arbitrary weight functions and establish a new and simple proof of this statement, based on the transference principle. We also give a complete description of the sets of g$g$‐Dirichlet pairs with a fixed
Vasiliy Neckrasov
wiley   +1 more source

Any Topological Recursion on a Rational Spectral Curve is KP Integrable. [PDF]

Commun Math Phys
Alexandrov A, Bychkov B, Dunin-Barkowski P, Kazarian M, Shadrin S.   +4 more
europepmc   +1 more source

Circle packings, renormalizations, and subdivision rules

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract In this paper, we use iterations of skinning maps on Teichmüller spaces to study circle packings and develop a renormalization theory for circle packings whose nerves satisfy certain subdivision rules. We characterize when the skinning map has bounded image.
Yusheng Luo, Yongquan Zhang
wiley   +1 more source