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複雑な多様体と代数的な構造 - 2026/10/16の論文38本
プレプリどんどん: math.AG · 16 октября 2026 г. · 1 ч 16 мин
arXiv math.AGの新着論文38本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-16/ Nilpotent Deformation Theory via Ultrasolid Algebra Linear Independence of Polynomial Compositions with Bounded Input Degree Normal complex surface singularities with rational homology disk smoothings A $p$-adic Riemann--Hilbert correspondence over Robba rings Positivity of Wahl defects and representations from index-one covers Nonlinear neighborhoods of smooth curves and arbitrarily negative Wahl defects A refinement of the strange duality conjecture on K3 surfaces Fundamental Groups and Coregularity: Klt Pairs with Trivial and Nef Log-Anticanonical Class Good stratifications of non-degenerate locally tame complete intersection varieties Complete homogeneous varieties over a field Quotients of Calabi-Yau Generalized Fermat manifolds and Log Enriques varieties The linear positive torsor presentation and arithmetic purity of strong approximation The space of polarized compactifications of an affine variety Reconstruction of Fano manifolds from the orthogonal to an exceptional vector bundle Deep Learning of Topological Equivalence Classes Perfectoid Pure and Signature Pairs The monodromy conjecture for high order poles, and norms of residue antiderivatives Gluing weak approximability along recollements Series of Fano quiver moduli from extended Dynkin quivers Deterministic Determination of Axial Constants, Sectional Regularities and Annihilator Numbers Tensor-generating line bundles on toric varieties Integral and higher-genus quantum McKay correspondence in type D Holomorphy rings and the Nullstellensatz over large fields Coefficient lifting for skew divided differences and triple Schubert coefficients Understanding entropy using Aubin--Yau deformations Asymptotics of the Moduli Spaces of Parabolic $\mathrm{SL}(3,\mathbb C)$-Higgs Bundles Matrix Completion Discriminants Frey-Mazur theorem for semistable elliptic curves over function fields On the variety of sum of powers of certain complete intersection forms Augmentation curve for torus knots Local Tate duality for syntomic cohomology in positive characteristic <a href="https://arxiv.org/abs/2610.21859