ホッジ幾何とモジュライ空間の構造 - 2026/11/3の論文50本

arXiv math.AGの新着論文50本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-11-03/ On potential density of rational points on hyperkahler varieties Stable compatibility for model categories Regions of totally real arrangements of rational curves From MHV Gravity Amplitudes and Hodges map to Pentad Varieties Galois Actions on Energy-Harmonic Functions On motivic multiplicativity of cyclic covers Secant dimensions and bilinear decomposition widths for finite Heisenberg groups Seshadri functions on surfaces Hodge theory and topology of Bogomolov--Guan manifolds Gromov-Witten theory of the local model of the standard flop Artinian reduction applied to the Largest Intersection Problem Topological transcendence degree and the dimension problem for perfectoid spaces The classification of Fano contact manifolds revisited Du Bois cohomology of noncommutative spaces and the Hodge numbers invariance conjecture for singular varieties The most singular loci of twisted character varieties Derived Torelli for Kuznetsov components of cubic fourfolds A remark on the AI proof of the Deligne--Drinfeld conjecture Moduli spaces of rank 2 sheaves on $\mathbb P^3$ via Quot schemes A Reider-type theorem for syzygies of cyclic covers of anticanonical rational surfaces The Coxeter-Todd abelian sixfold, Gamma00, and big Schottky Normality of closures of conormal bundles to Schubert cells for $\operatorname{GL}_n$ Motivic Eilenberg--Mac Lane spaces at the characteristic Construction of stability conditions on some Kuznetsov components The topology of the amoeba map and maximal volume Universal Curve Counting in Calabi-Yau 4-folds Hodge--Riemann relations for $m$-positive and generalized $m$-positive forms Human Variations on AI Mathematics The Universal Nilpotent Cone and a Canonical 1-form Spectral pairs of Newton non-degenerate polynomials with isolated singularities Quantitative finiteness for maximal complex totally geodesic submanifolds of non-arithmetic ball quotients GW/PT-correspondence for CY $4$-fold-II: Virtual Classes Counterexamples to the Jacobian Conjecture from the viewpoint of lineability <