特異点とモジュライ空間とモチーフ - 2026/10/20の論文66本

arXiv math.AGの新着論文66本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-20/ Invariants of big classes from asymptotic total Betti numbers Codimension of Brill-Noether Loci on Abelian Surfaces and the First Segre Invariant The Yau Geometric Conjecture for Isolated Hypersurface Singularities Derived equivalences and isogenies of supersingular abelian varieties On the classification of threefold flops Alp\"oge's counterexample to the JC, Economic Stabilization, and Zhao's Vanishing Conjecture Weighted homogeneous surface singularities admitting rational homology disk smoothings The section conjecture for generic pointed curves The genus of a curve on Calabi-Yau threefolds Non-existence of Negative Weight Derivations of the Moduli Algebras of Isolated Weighted Homogeneous Hypersurface Singularities Finite Symplectic Automorphism Groups of K3 Surfaces in Characteristic Seven Projective Decomposition and Intersection Cohomology of Rigid Spaces Isotropy of symplectic involutions and motivic equivalence for groups of type $\sf{C}$ $G$-birational rigidity of the $G$-Fano variety $\mathbb{P}^1 \times \mathbb{P}^1 \times \mathbb{P}^1$ Torsion Cycles in Projective Threefolds:From Serre's Construction to Artin-Mumford Categorical Torelli theorem for smooth Fano varieties On elements of degree $g$ in the separating semigroup of a real curve of genus $g$ Torelli theorem for the moduli spaces of twisted vector bundles on smooth projective curves Lefschetz Properties of complete intersesctions and maximal variation of hyperplane sections The blow-up of the cubic fourfold along eight planes is Fano Superschemes and supermanifolds with free $\mathbb{A}^{0|n}$-action Equivariant deformation theory and deformations of homogeneous varieties On solutions to tropical Monge-Amp\`ere equations Negative Values of Wahl's Second Chern Number for Normal Surface Singularities Non-existence of negative weight derivations on Jacobian algebras The classification of taut surface singularities via representations from logarithmic vector fields Characteristic cycles and non-acyclicity classes for constructible \'etale sheaves Free abelian group actions on projective fibered varieties Cohomological Milnor Fibrations of Landau--Ginzburg Models <a href="https://arxiv.org/ab