モチーフと熱帯幾何学と超スキーム - 2026/5/11の論文17本

arXiv math.AGの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-11/Corrigendum to `Evaluation of motivic functions, non-nullity, and integrability in fibers', Advances in Mathematics, Vol. 409, Part A, Paper No. 108635, 29 pages, doi:10.1016/j.aim.2022.108635 (2022)The Local Bourbaki Degree of a Plane Projective CurveWeight of the De Rham-Betti Structures of Abelian VarietiesThe Structure of $C^\infty$-SuperschemesModularity of Feynman Integrals and Factorization of Appell F2 SystemsGeometry of weak contact conics to irreducible quartics with 2 nodes and 1 cusp via rational elliptic surfaces and Zariski pairsThe Isomorphism Classes of the Surfaces $x_1^{a_1} + x_2^{a_2} + x_3^{a_3} + 1 = 0$Relative $\mathbb{A}^1$-Contractibility of Smooth SchemesRoot bounds of vertical systems using tropical geometryHomogeneous pre-foliations of co-degree one and degree four on the projective planeAdjoint test modules along Cohen--Macaulay morphismsTensor product surfaces and graded syzygiesOn Bands and Limit Theorems in Tropical GeometryFinite order symplectic birational self-maps on Kummer-type manifoldsAnalytical solutions for some quadratic ODEs found via linear rational eigenfunctions and the rational eigenfunction varietyGenus drop involving non-hyperelliptic curves in Feynman integralsAsymptotics of small eigenvalues on degenerations of K\"ahler manifolds