密度と分類の理論的考察 - 2026/10/7の論文31本

arXiv math.AGの新着論文31本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-07/ A toric Calabi-Yau counterexample to Schimpf's connected stable pairs pole conjecture Deformations of toric pairs and the smoothing of Batyrev Calabi-Yau threefolds Determinacy and Modality in Positive Characteristic Schubert compactifications of matrix pencils Algebraic ellipticity of quartic double spaces Potential density of rational points on sextic double solids The finite-degree profile of essential dimension I: general theory and characteristic prime to $|G|$ Indexed Logarithmic Cartier Transform Semisimplicity, purity and Mumford-Tate conjecture for hyper-K\"ahler varieties Semiample perturbations over arbitrary fields Hodge--Tjurina Numbers, Tjurina Spectra, and Thom--Sebastiani Formulas On constructibility of klt type varieties and simple $D$-module Special Loci in the Moduli of Curves On plane Cremona maps of degree 4 and length 2 Geometry of a semistable degeneration of moduli of vector bundles on curves Derived supergeometry and perfect obstruction theories on algebraic superstacks Xiao's Degree-Four Fibration and the Polizzi Model The unbearable projectivity of being a good moduli space of Gorenstein curves of genus one with non-colliding markings The Kuranishi space of joint deformations of Calabi--Yau manifolds and holomorphic vector bundles Densities of Picard Rank Jumps for K3 Surfaces Over Global Fields $\mathcal C^m$ solutions of semialgebraic equations on curves Geometry of massive loops in gravitational scattering: Maximal cut, Riemann's bilinear relations and genus drop Discreteness of real $\mathrm{SL}_n$-opers Diagonal Specht ideals and their varieties Truncation of dg categories and connective resolutions The Artin-Davenport conjecture on cubic forms From Demailly's Inequality to Harbourne--Huneke Containments for General Points Can one hear the shape of a lattice random walk? Algebraic Eisenstein classes for $\mathrm{GL}_n$ with applications to the Bianchi case Decoy and disclosure radii of invariant shape descriptors Explicit tensors beyond the linear flattening barrier