カルビ・ヤウとハイパーケーラーとクィバーの構造 - 2026/10/9の論文40本

arXiv math.AGの新着論文40本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-09/ Embeddings of Derived Categories of Moduli Spaces into Symmetric Powers K-Moduli Wall Crossing and Automorphic Forms for the Moduli Space of Rational Elliptic Surfaces K-moduli wall crossing for quasimaps to a projective variety Equal-mass sunset integrals and genus-zero local Gromov--Witten theory of Calabi--Yau $n$-folds Effective syzygies of secant varieties An explicit tame factorization of the four-variable Anick automorphism A Proof of Mongardi's Conjecture on Finite Symplectic Group Actions on Hyperk\"ahler Manifolds of $K3^{[n]}$ Type Toric flatness I Helly Numbers for Connected Reductive Groups and Splitting of Toric Principal Bundles Injectivity of specialization maps in critical cohomology Loyalty of the affine line in motivic homotopy theory Largeness of the wild locus On Calabi-Yau varieties that are linear sections of Grassmannians of lines Rational curves on toroidal compactifications of Picard modular varieties Linear syzygies and linear subspaces whose lines are multisecant On the kernels of Lefschetz operators Hyperquiver varieties Hyperk\"ahler SYZ conjecture Characteristic cycles and the Gevrey filtration of irregularity in hypergeometric families The moduli space of curves of genus 16 is uniruled Local Constancy of the Betti Automorphic Category over the Moduli of Curves Fourier quasicrystals with positive integer masses are sections of Lee-Yang cycles The rational homology of quotients of the curve complex The three- and four-loop equal-mass sunset integrals and local Calabi--Yau fourfolds and fivefolds Quantum geometry at arbitrary genus - I: Anharmonic potentials Frobenius splitting of valuation rings revisited Categorified Cluster Structures on Coulomb Branches of Certain Star-Shaped Quivers Continuity of the Julia sets in non-archimedean and hybrid settings Equivariant noncommutative crepant resolutions and $G$-maximal modifying modules Uniform Height Gaps in Arbitrary Characteristics Unipotent Selmer dimensions for CM curves via Iwasawa loci A uniform bound for the minimal degree of