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構造の指標と予想の反例 - 2026/10/22の論文7本
プレプリどんどん: math.AC · 22 октября 2026 г. · 13 мин
arXiv math.ACの新着論文7本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-10-22/ Hilbert-Kunz multiplicities of powers of ideals and normalized Hilbert coefficients On some problems concerning the growth of Betti numbers The Kemper--Malle conjecture and isolated linear quotient singularities Regularity and $v$-number of syzygies of graded maximal Cohen-Macaulay modules Differential powers of monomial ideals in affine semigroup rings Closedness of bounded strength and partition rank loci The recent counterexamples to the Eisenbud-Schreyer-Weyman Ulrich problem (2003) and to Hochster's small Cohen-Macaulay conjecture (1973): a survey, with a generalization to arbitrary dimension