多項式写像と環の構造と多様体 - 2026/9/15の論文14本

arXiv math.ACの新着論文14本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-15/ The structure of automorphism groups of zero-dimensional monomial algebras The classification of some polynomial maps in dimension three Independence polynomials and the weak Lefschetz property for tadpole graphs On a question of Nori: The high-codimension conductor case Goldman primes and higher cyclic presentations for the small finitistic dimension On the iso-Artinianness of one-dimensional Noetherian rings Baer Splitting Beyond $\tau_q$-Semisimplicity Generalized divisor topology of commutative rings On simple extensions generated by key polynomials Symmetric Models for Syndrome Decoding Nagata's conjecture on a polynomial automorphism in positive characteristic AKE principles in roughly deeply ramified henselian valued fields Polarized varieties without arithmetically Cohen-Macaulay bundles and section rings without graded maximal Cohen-Macaulay modules in characteristic zero A blowup criterion for regularity