ポアンカレリーブとクラインとカルビユ - 2026/2/24の論文20本

arXiv math.AGの新着論文20本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-02-24/Algebraic realization of stable Poincar\'e-Reeb graphsKlein coverings over hyperelliptic genus 3 curvesPicard bundles and Twisted Picard bundles on the Jacobian of a curvePerfect complexes on finite flat affine groupoidsDualizable abelian fibrationsUniversal extension spaces and modular maps: unveiling irreducible components of Brill-Noether loci of stable bundles on a general $\nu$-gonal curveA cohomological interpretation for stringy Hodge numbersClassification of double octic Calabi-Yau threefolds defined by an arrangement of eight planes IINotes on rational chain connectednessMultigraded Hurwitz formsRelevant maps and the algebraic skeleton of simplicial toric prevarietiesExplicit formulas and exact values for the number of rational points on singular curves over finite fieldsMonodromy rank and the semisimple Mumford-Tate conjecture for hyper-K\"ahler varietiesHilbert surfaces, modular forms, and Siegel-Veech constantsOn the birational isotriviality of the Albanese morphism of a log Calabi-Yau pair with a torus actionSerre duality, Mukai pairing and universal Auslander--Reiten triangleModuli of $G$-bundles on rigid gerbes over affine curvesOn factorization of matrix of Kazhdan-Lusztig polynomialsStacky Batyrev-Manin conjecture and modular curvesOn the Ramanujan Vector Field modulo $p$