安定性、鏡映、不変量 - 2026/10/5の論文32本

arXiv math.AGの新着論文32本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-05/ On deformations of foliated complex analytic structures II: Functors of Artin rings On wall-crossing invariant combinations of Welschinger numbers for rational surfaces with a conic bundle The Mumford--Tate group of a very general Lagrangian fiber Regularization and algebraic stability of birational automorphisms Sharp FRS and singularity thresholds for off-diagonal Gram maps Pappas's conjecture on ramified unitary local models Sharp Noether-type inequalities for $3$-folds of intermediate Kodaira dimensions Grothendieck ring of varieties and at-the-characteristic numerical invariants Arakelov inequalities for fibered surfaces in positive characteristic Categorical Dynamics of Abelian Varieties Extension of solvable coverings across horizontal divisors over the integers Canonical extensions of ruled surfaces over elliptic curves Multiplicativity of the perverse filtration in the $\mathrm{SL}_n$ case Ample stability implies rigidity for quiver moduli Betti Numbers of Odd Biisotropic Symplectic Grassmannians K-stability of a class of smooth Fano complete intersections Mond's conjecture for corank-one maps from $\mathbb C^3$ to $\mathbb C^4$ Super Teichm\"uller Space Quantum cohomology, Hitchin systems, and Fourier--Mukai comparison Simpson's closedness conjecture in arbitrary rank Rationality of varieties and $\mathbb{A}^1$-homotopy theory Mirror symmetry for gCICY threefolds (II): $[3,-1]$ blocks, VGIT, and toric phases Mirror symmetry for gCICY threefolds (I): a $[3,-1]$ block and a non-Gorenstein toric phase Small Lefschetz fibrations on the BMY line Non-Malleable Affine Extractors with Small Error and Complexity Lower Bounds some arithmetical aspects of the two dimensional jacobian conjecture Cohomology of Linearly Constrained Kloosterman Families: Newton Polytopes, Weights, and Boundary Monodromy Cubic arithmetic-geometric mean and isogenies of Hesse elliptic curves Pellarin's Identity, Carlitz Period, and Anderson Generating Functions over Arbitrary Curves Equivariant Poincar\'e polynomial of type B Wonderful Models Quillen's finiteness conjecture for the cotan