Tootfinder

Physics and Geometry of Complex Structure Limits in Type IIB Calabi-Yau Compactifications
Jeroen Monnee, Timo Weigand, Max Wiesner
https://arxiv.org/abs/2509.07056 https://

Physics and Geometry of Complex Structure Limits in Type IIB Calabi-Yau Compactifications
We provide a detailed geometric and physical interpretation of infinite distance limits in the complex structure moduli space of Type IIB compactifications on Calabi-Yau threefolds, motivated by the Emergent String Conjecture. In the framework of semi-stable degenerations, such limits are characterised by a simple fibration structure of the fastest vanishing three-cycles. The previously studied Hodge theoretic classification of infinite distance limits of type II, III, and IV is reflected in th…

The Beilinson-Bloch conjecture for some cubic threefolds over global function fields
Matt Broe
https://arxiv.org/abs/2509.03602 https://arxiv.org/pdf/2509.…

The Beilinson-Bloch conjecture for some cubic threefolds over global function fields
We prove conjectures on algebraic cycles, due to Beilinson, Bloch, and Jannsen, for a class of smooth cubic threefolds over global function fields, using tools introduced by Jannsen. We deduce the Birch and Swinnerton-Dyer conjecture for their intermediate Jacobians, and use it to construct new examples of varieties over finite fields satisfying the Tate conjecture.

Finite abelian groups acting on rationally connected threefolds II: groups of K3 type
Konstantin Loginov, Antoine Pinardin, Zhijia Zhang
https://arxiv.org/abs/2509.02531 https:/…

Finite abelian groups acting on rationally connected threefolds II: groups of K3 type
We study finite abelian groups acting on three-dimensional rationally connected varieties. We concentrate on the groups of K3 type, that is, abelian extensions by a cyclic group of groups that faithfully act on a K3 surface. In particular, if a finite abelian group faithfully acts on a threefold preserving a K3 surface (with at worst du Val singularities), then such a group is of K3 type. We prove a classification theorem for the groups of K3 type which can act on three-dimensional rationally c…

Some bounds on the number of non isomorphic cyclic k-cycle systems of the complete graph
Lotrenzo Mella, Gloria Rinaldi
https://arxiv.org/abs/2509.24015 https://

Some bounds on the number of non isomorphic cyclic k-cycle systems of the complete graph
In a recent paper (2024) M. Buratti and M.E:Muzychuck have established some lower bounds on the number of non isomorphic cyclic Steiner Triple Systems of order $v\equiv 1$ (mod $6$). We complete their result to the case $v\equiv 3$ (mod $6$). For each odd $k > 3$ we also find lower bounds for the number of non isomorphic cyclic $k$-cycle systems of a complete graph.

First-order theory of torsion-free Tarski monsters
R\'emi Coulon, Francesco Fournier-Facio, Meng-Che "Turbo" Ho
https://arxiv.org/abs/2508.21244 https://

First-order theory of torsion-free Tarski monsters
We develop methods to control the first-order theory of groups arising as certain direct limits of torsion-free hyperbolic groups. We apply this to construct simple torsion-free Tarski monsters (non-abelian groups whose non-trivial, proper subgroups are infinite cyclic) with the same positive theory as the free group, answering several questions of Casals-Ruiz, Garreta, and de la Nuez González. Moreover, these groups may be chosen so that every non-trivial conjugacy-invariant norm is stably bo…

Z-scores-based methods and their application to biological monitoring: An extended analysis of professional soccer players and cyclists athletes
Geoffroy C. B. Berthelot (IRMES - URP\_7329, RELAIS), Brigitte Gelein (ENSAI, IRMAR), Eric Meinadier (FFC), Emmanuel Orhant (FFF), J\'er\^ome Dedecker (MAP5 - UMR 8145)
https://arxiv.org/abs/2…

Z-scores-based methods and their application to biological monitoring: An extended analysis of professional soccer players and cyclists athletes
The increase in the collection of biological data allows for the individual and longitudinal monitoring of hematological or urine biomarkers. However, identifying abnormal behavior in these biological sequences is not trivial. Moreover, the complexity of the biological data (correlation between biomarkers, seasonal effects, etc.) is also an issue. Z-score methods can help assess the abnormality in these longitudinal sequences while capturing some features of the biological complexity. This work…

Whistling of turbulent cavity flows: Self-consistent predictions with the linearized compressible Navier-Stokes equations
Nikolaos Bozikis, Dilara \"Ozev, Nicolas Noiray
https://arxiv.org/abs/2509.17986

Whistling of turbulent cavity flows: Self-consistent predictions with the linearized compressible Navier-Stokes equations
A self-consistent saturation model for the prediction of aeroacoustic limit cycles emerging in turbulent low-Mach cavity flows (Re=O(10^5), M\simeq 0.2) is proposed. It predicts the nonlinear interactions between the acoustic modes of a deep rectangular cavity and the hydrodynamic instabilities of the turbulent shear-layer that forms over its opening due to the presence of a grazing flow. The model is based on the triple decomposition of the flow variables and the compressible Navier-Stokes equ…

$SU(2)$-representations of Branched Covers
Sudipta Ghosh, Zhenkun Li, Juanita Pinz\'on-Caicedo
https://arxiv.org/abs/2508.19669 https://arxiv.org/pdf/2…

$SU(2)$-representations of Branched Covers
We study the existence of irreducible $SU(2)$-representations for cyclic branched covers of knots in $S^3$. Our main result establishes that if $K$ is a non-trivial prime knot and $d$ is an integer such that $d \geq 2$ and $Σ_d(K)$ is an integer homology sphere, then $π_1(Σ_d(K))$ admits an irreducible $SU(2)$-representation, whenever $K$ satisfies one of two conditions: either $K$ is $2$-periodic, or $K$ can be represented as the closure of a tangle adapted to a $d\times d$ SICUP matrix. Th…

Notes on symplectic action on $(2,1)$-cycles on $K3$ surfaces
Ken Sato
https://arxiv.org/abs/2509.13491 https://arxiv.org/pdf/2509.13491

Notes on symplectic action on $(2,1)$-cycles on $K3$ surfaces
In this paper, we propose and study a conjecture that symplectic automorphisms of a $K3$ surface $X$ act trivially on the indecomposable part $\mathrm{CH}^2(X,1)_{\mathrm{ind}}\otimes \mathbb{Q}$ of Bloch's higher Chow group. This is a higher Chow analogue of Huybrechts' conjecture on the symplectic action on $0$-cycles. We give several partial results verifying our conjecture, some conditional and some unconditional. Our unconditional results include the full proof for Kummer surfaces of produ…