FanoとK3とモチフとコホモロジー - 2026/9/30の論文39本

arXiv math.AGの新着論文39本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-30/ Finite generation of relative log canonical algebras of semi-dlt pairs Global Sections and Birational Geometry of Calabi-Yau Type Varieties Realizability of Cohomology Classes in Orthogonal Grassmannians Rigidity conditions for binomials Calculating Hodge and weight filtrations on localizations Vanishing of degree $3$ unramified cohomology over finite fields Motivic classes of Fano schemes of lines on intersections of two quadrics The $F$-signature Function on the Big Cone Failure of semipositive metric extension in a smooth projective family Finiteness of the Chow ring of $\mathcal{M}_{5,10}$ Nonexistence of maximal curves of genus five over $\F_{64}$ From $3$-spin to Negative $r$-spin: Limits of Cohomological Field Theories and Tautological Relations Voevodsky motives and motives with modulus with finite coefficients in characteristic zero Jump of the Milnor Number in Linear Deformations with Fixed Order Rationally connectedness and O'Grady's generalized Franchetta conjecture for K3 surfaces Degenerations of shifted symplectic moduli stacks of sheaves Arakelov inequalities and characterization of totally geodesic ball quotients in $\mathcal{A}_g$ Weighted projective spaces admitting $\mathbb Q$-Gorenstein smoothings to $\mathbb P^3$ Weighted projective spaces admitting $\mathbb Q$-Gorenstein smoothings to Fano threefolds with Picard number one Some applications of the moduli space of $U\oplus D_8(-1)$-polarized K3 surfaces Fano orbifolds admit free Campana curves On the Hilbert polynomial of the linked projective space Exceptional Loci and Hyperbolicity of Complements of Plane Curves with $\bar{c}_1^2 - \bar{c}_2 > 0$ Isotropic localizations of mixed initial motives Mordell--Lang plus Geometric Bogomolov Deep Points of Cluster Algebras II: Punctured Marked Surfaces The opposite of admissibility for local systems on line arrangements Solver Agent: an Agentic AI Framework for Theoretical Physics Computations Applied to F-theory Uplifts of O3-planes and S-folds Topological Band Theory for High-Dimensional Parameter Spaces p-adic Rigidity and Supercongruences at Rank Two Attractors <a href="https://arxiv.org