Arjun Maniyar Maximal cross-ratio degree for 8 points in $\mathbb{P}^1$ https://arxiv.org/abs/2601.10888

Chunhui Liu On the rational points in conics of a cubic surfac https://arxiv.org/abs/2601.10895

Elena Guardo, Graham Keiper, Grzegorz Malara Interpolation matrices and jumping lines of logarithmic bundles https://arxiv.org/abs/2601.11114

Joris Koefler, Dmitrii Pavlov, Rainer Sinn Positive Genus Pairs from Amplituhedra https://arxiv.org/abs/2601.11142

Olivier Benoist The resultant divisor is negative https://arxiv.org/abs/2601.11474

Lucas Michel On some Exotic Cylindrical Algebraic Decompositions and Cells https://arxiv.org/abs/2601.09795

Denver-James Logan Marchment, Bernhard K\"ock The Galois Structure of the Spaces of polydifferentials on the Drinfeld Curve https://arxiv.org/abs/2601.09956

Le Cong Trinh On directional second-order tangent sets of analytic sets and applications in optimization https://arxiv.org/abs/2601.09991

Soham Ghosh Kov\'acs' conjecture on characterisation of projective space and hyperquadrics https://arxiv.org/abs/2601.10055

Tetsushi Ito, Akihiro Kanemitsu, Teppei Takamatsu, Yuuji Tanaka Fano threefolds of genus 12 with large automorphism group in positive and mixed characteristic https://arxiv.org/abs/2601.10106

Sen Yang Deformations of Chow groups via cyclic homology https://arxiv.org/abs/2601.10309

Levashev Vladislav Polymultiplicative maps associated with the algebra of Iterated Laurent series and the higher-dimensional Contou-Carrere Symbol https://arxiv.org/abs/2601.10335

Xueyuan Wan Positivity of Schur forms for Griffiths positive vector bundles of rank three over complex threefolds https://arxiv.org/abs/2601.10424

Takuro Abe (UBE, IMB), Daniele Faenzi (UBE, IMB) On the projective dimension of some deformations of Weyl arrangements https://arxiv.org/abs/2601.10466

Zhenjian Wang On Strong Lefschetz Property of 0-dimensional complete intersections https://arxiv.org/abs/2601.07874

Juan Luis Gastaldi (D-INFK), Samantha Jarvis (CUNY), Thomas Seiller (CNRS, LIPN), John Terilla (CUNY) Geometric Structures in $\mathbb{R}$-enriched adjunctions https://arxiv.org/abs/2601.07900

Yeuk Hay Joshua Lam, Daniel Litt p-Curvature and Non-Abelian Cohomology https://arxiv.org/abs/2601.07933

Alexander Vishik On the $p$-primary and $p$-adic cases of the Isotropy Conjecture https://arxiv.org/abs/2601.07947

Alexander Vishik On the numerical triviality of $BP$-cycles https://arxiv.org/abs/2601.07955

Siddarth Kannan, Terry Dekun Song Virtual Hodge numbers of $\mathcal{M}_{g, n}(\mathbb{P}^r, d)$: stability and calculations https://arxiv.org/abs/2601.07981

Guillermo Gallego Non-Abelian Hodge Theory and Moduli Spaces of Higgs Bundles https://arxiv.org/abs/2601.07996

Ben Davison BPS cohomology in geometry and representation theory https://arxiv.org/abs/2601.08004

Kisun Lee Asymptotic rank bounds: a numerical census https://arxiv.org/abs/2601.08119

Shu Kawaguchi, Kazuhiko Yamaki Tropical Kummer quartic surfaces https://arxiv.org/abs/2601.08159

Jinwon Choi, Young-Hoon Kiem Asymptotic distribution of the Betti numbers of $\overline{\mathcal{M}}_{0,n}$ https://arxiv.org/abs/2601.08369

Ian Selvaggi The Chow Ring of the Hilbert Cube https://arxiv.org/abs/2601.08399

Alexandru Dimca, Gabriel Sticlaru Graded Betti numbers of the Jacobian algebra and total Tjurina numbers of plane curves https://arxiv.org/abs/2601.08583

Aryaman Patel, Dario Weissmann Stratifying moduli spaces of Higgs bundles and the Hitchin morphism https://arxiv.org/abs/2601.08597

Henri Guenancia, Mihai P\u{a}un A complex analytic approach to orbifold Chern classes on singular varieties and its applications https://arxiv.org/abs/2601.08627

Michele Bianco, Luis E. Sol\'a Conde Singular del Pezzo surfaces and isotropic flag varieties https://arxiv.org/abs/2601.08704

Giuliano Gagliardi, Johannes Hofscheier, Heath Pearson Toricness and smoothness criteria for spherical varieties https://arxiv.org/abs/2601.06376

Naoki Kitazawa Regions surrounded by cylinders of real algebraic manifolds and natural decompositions https://arxiv.org/abs/2601.06454

Bin Wang, Xueqing Wen, Yaoxiong Wen Minimal reduction type in classical cases https://arxiv.org/abs/2601.06744

Victor M. Buchstaber, Alexander P. Veselov Algebraic topology of the Lagrange inversion https://arxiv.org/abs/2601.06814

Yongqi Liang, Xingyu Liu, Hui Zhang The Brauer-Manin obstruction of Symmetric products https://arxiv.org/abs/2601.06872

Montserrat Teixidor I Bigas Higher order Petri Loci https://arxiv.org/abs/2601.07026

Jim Bryan, Bal\'azs Elek, Freddie Manners, George Salafatinos, Ravi Vakil The motivic class of the space of genus $0$ maps to the flag variety https://arxiv.org/abs/2601.07222

Stefan Kebekus, Erwan Rousseau, Fr\'ed\'eric Touzet Irregularities of special C-pairs https://arxiv.org/abs/2601.07318

Rapha\"el Ruimy, Swann Tubach, Sebastian Wolf Pro-\'etale motives and solid rigidity https://arxiv.org/abs/2601.07358

Alexander B. Goncharov, Maxim Kontsevich Non-commutative cluster Lagrangians https://arxiv.org/abs/2601.07538

Alo\"is Demory Real critical points of $T$-polynomials that are sums of squared monomials and topology of $T$-hypersurfaces https://arxiv.org/abs/2601.07751

S. Yu. Orevkov On curves of degree 10 with 12 triple points https://arxiv.org/abs/2601.07809

Lycka Drakengren The fiber product of the Torelli map with any product $\mathcal{A}_{g_1}\times \dots \times \mathcal{A}_{g_k}\to\mathcal{A}_g$ is reduced https://arxiv.org/abs/2601.02592

Yalong Cao, Andrei Okounkov, Yehao Zhou, Zijun Zhou Symmetric quiver varieties and critical stable envelopes https://arxiv.org/abs/2601.02719

Ian Gleason Stacks of p-adic shtukas and spatial kimberlites https://arxiv.org/abs/2601.02741

Livia Campo, Kento Fujita, Taro Sano, Luca Tasin K-stability of Fano weighted hypersurfaces via plt flags and convex geometry https://arxiv.org/abs/2601.02974

Denis Nesterov On the Hilbert-Chow crepant resolution conjecture https://arxiv.org/abs/2601.03036

Baohua Fu, Jie Liu Hamiltonian reductions as affine closures of cotangent bundles https://arxiv.org/abs/2601.03068

Piotr Oszer Deformations of the connected sum of Gorenstein algebras https://arxiv.org/abs/2601.03179

Yusuke Ohmiya Wall in the stability space of the gluing stability conditions on Hirzebruch surfaces https://arxiv.org/abs/2601.01063