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Calabi-YauとFanoと予想の探求 - 2026/10/8の論文33本
プレプリどんどん: math.AG · 8 октября 2026 г. · 1 ч 3 мин
arXiv math.AGの新着論文33本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-08/ The logarithmic generalised Kummer locus and its tropicalisation On the conjectural Hodge index theorem for finite quotient spaces of singular varieties Counterexamples to the Ambro--Kawamata effective non-vanishing conjecture Dolbeault Cohomology Growth under Curvature Rank Bounds The finite-degree profile of essential dimension II: cyclic $p$-groups in characteristic $p$ Projective Lifting Theorem, Complex Reflection Groups, and Quasi-Galois Points for Fermat Varieties Anticanonical Volumes of Terminal and Canonical Gorenstein Fano Fourfolds Construction of log Calabi--Yau boundaries from int-amplified endomorphisms Effective nonvanishing of $K$-trivial regular surfaces over imperfect fields Rational points and inflexions on Hermitian-relative curves Motivic Euler characteristics of moduli spaces of curves Ax-Schanuel and the rank one Riemann-Hilbert correspondence Equivariant Unirationality of Cubic Threefolds A combinatorial criterion for detecting roots of Bernstein-Sato polynomials Totally invariant subvarieties of $\mathbf P^n$ Generalised Cone Conjecture, III: Non-generic Sakai surfaces Counterexamples to the Polishchuk--Van den Bergh conjecture on curves Minkowski decompositions and universal equivariant deformations of toric pairs Transverse rational curves and the LeBrun--Salamon conjecture A reduction theorem for L\^e's conjecture Abundance for threefolds in positive characteristic Combs and complex structures on the six-sphere The rationality problem for hypersurfaces of degree at least five Sharp Polynomial Upper Bounds for Anticanonical Volumes Automorphisms of general modular curves Fundamental groups of Calabi-Yau spaces Log-concavity and unimodality of cluster monomials in fan coordinates of type $A_n$ Regular integral models of Shimura varieties and a conjecture of Pappas Point-balanced arrangements in the real projective plane and the Hirzebruch property The Hassanzadeh-Nasrollah Nejad-Simis Conjecture on Euler Conductors The Geometric Arveson-Douglas Conjecture through Veronese Embeddings