Tootfinder

Incredible work by the Google security team. This message has so many hallmarks of being a phishing message, and even some of spear-phishing:
- Presented with urgency (made worse by Apple "Intelligence")
- Links go through a domain you'd never interact with (c.gle, their click tracker)
- Sent to my email without addressing me by name
- Presenting ominous information with no detail, asking you to interact for more detail
- Unsolicited
- Blurry, @1x logo, not sharp like an SVG or @2x image would have been
- Targeting a high value target (Admin of a corporate workspace)
- Plus, some minor formatting issues on a narrow screen make it seem just a touch dodgy
Stellar work guys

Log Calabi--Yau manifolds: holomorphic tensors, stability and universal cover
Tristan C. Collins, Henri Guenancia
https://arxiv.org/abs/2509.07508 https://…

Log Calabi--Yau manifolds: holomorphic tensors, stability and universal cover
We study various geometric properties of log Calabi-Yau manifolds, i.e. log smooth pairs $(X,D)$ such that $K_X+D=0$. More specifically, we focus on the two cases where $X$ is a Fano manifold and $D$ is either smooth or has two proportional components. Despite the existence of a complete Ricci flat Kähler metric on $X\setminus D$ in both cases, we will show that the geometric properties of the pair $(X,D)$ are vastly different, e.g. validity of Bochner principle, local triviality of the quasi-…

Estimates of the Second Bohr radius for vector-valued Holomorphic functions
Vibhuti Arora, Vinayak M
https://arxiv.org/abs/2510.07780 https://arxiv.org/pdf…

Estimates of the Second Bohr radius for vector-valued Holomorphic functions
This paper introduces the second Bohr radius for vector-valued holomorphic functions defined on arbitrary complete Reinhardt domains. We aim to establish the lower and upper bounds of the second Bohr radius in both finite and infinite-dimensional settings. Additionally, we provide specific estimates that connect the Second Bohr radius to a symmetric Banach space. We also explore the relationships between our findings and certain existing results.

The $n^{th}$ centered moments of a large orthogonal family of automorphic $L$-functions
Vorrapan Chandee, Yoonbok Lee, Xiannan Li
https://arxiv.org/abs/2510.07647 https://

The $n^{th}$ centered moments of a large orthogonal family of automorphic $L$-functions
We obtain the $n$th centered moments of one level densities of a large orthogonal family of $L$-functions associated with holomorphic Hecke newforms of level $q$, averaged over $q\sim Q$. We verify the Katz-Sarnak conjecture for these statistics, in the range where the sum of the supports of the Fourier transforms of test functions lies in $(-4, 4)$. In so doing, we need to understand certain phantom oversized terms, which allow us to extract the right off-diagonal contributions. We further nee…

Crosslisted article(s) found for math.GT. https://arxiv.org/list/math.GT/new
[1/1]:
- Explicit Holomorphic Structures for embeddings of closed 3-manifolds into $\mathbb{C}^3$
Ali M. Elgindi

Turbulent holomorphic foliations on compact complex tori and transversely holomorphic Cartan geometry
Indranil Biswas, Sorin Dumitrescu
https://arxiv.org/abs/2510.01804 https://…

Turbulent holomorphic foliations on compact complex tori and transversely holomorphic Cartan geometry
We define a class of nonsingular holomorphic foliations on compact complex tori which generalizes (in higher codimension) the turbulent foliations of codimension one constructed by Ghys. For those smooth turbulent foliations we prove that all transversely holomorphic Cartan geometries are flat. We also establish a uniqueness result for the transversely holomorphic Cartan geometries.

On the Invariant and Geometric Structure of the Holomorphic Unified Field Theory
J. W. Moffat, E. J. Thompson
https://arxiv.org/abs/2510.06282 https://arxi…

On the Invariant and Geometric Structure of the Holomorphic Unified Field Theory
We present the invariant structure of a Holomorphic Unified Field Theory in which gravity and gauge interactions arise from a single geometric framework. The theory is formulated on a product principal bundle, with one connection, and curvature equipped with a Hermitian field on a complexification of spacetime. From a single Diff(M) $\times$ G-invariant action, variation yields the Einstein and Yang-Mills equations together with their paired Bianchi identities. A compatibility condition is impl…

On the distribution of the Fourier coefficients over two sparse sequences
Venkatasubbareddy Kampamolla
https://arxiv.org/abs/2509.07037 https://arxiv.org/p…

On the distribution of the Fourier coefficients over two sparse sequences
Let $j\geq 3$ be any fixed integer and $f$ be a primitive holomorphic cusp form of even integral weight $κ\geq 2$ for the full modular group $SL(2,\mathbb{Z})$. We write $λ_{{\rm{sym}^j }f}(n)$ for the $n^\text{th}$ normalized Fourier coefficient of $L(s,{\rm{sym}}^j f)$. In this article, we establish asymptotic formulae for the discrete sums of the Fourier coefficients $λ_{\rm{sym}^j f}^2(n)$ over two sparse sequence of integers, which can be written as the sum of four integral squares and …

On the Jacobian polygon and \L ojasiewicz exponent of isolated complex hypersurface singularities
Baldur Sigur{\dh}sson
https://arxiv.org/abs/2509.06150 https://

On the Jacobian polygon and Łojasiewicz exponent of isolated complex hypersurface singularities
Given a hypersurface singularity $(X,0) \subset (\mathbb{C}^{n+1},0)$ defined by a holomorphic function $f:(\mathbb{C}^{n+1},0) \to (\mathbb{C},0)$, we introduce an alternating version of Teissier's Jacobian Newton polygon, associated with a complex isolated hypersurface singularity, and prove formulas for both these invariants in terms of an embedded resolution of $(X,0)$. The formula for the alternating version has an advantage, in that for Newton nondegenerate functions, it can be calculated…

A remark on weighted average multiplicities in prime factorisation
Viktor Mirjani\'c, Daattavya Aggarwal, Challenger Mishra
https://arxiv.org/abs/2510.06993 https://

A remark on weighted average multiplicities in prime factorisation
We study a generalisation of the quality of an ABC triple that we call the weighted average multiplicity (WAM), in which the logarithmic heights of prime factors are raised to a complex exponent s. The WAM is connected to the standard ABC conjecture at s=1. We show that for real part of s less than 1, WAM is unbounded over ABC triples both for integers and polynomials. For real part greater than 1, we characterise a boundary beyond which WAM is holomorphic and bounded. In this region, we show t…