ULRICH IDEALS AND MODULES OVER TWO-DIMENSIONAL RATIONAL SINGULARITIES

DOI10.1017/nmj.2015.1zbMath1360.13028arXiv1307.2093OpenAlexW2963644481MaRDI QIDQ2828006

Shiro Goto, Ken-ichi Yoshida, Kazuho Ozeki, Ryo Takahashi, Kei- ichi Watanabe

Publication date: 24 October 2016

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.2093

zbMATH Keywords

rational singularitiesmaximal Cohen-Macaulay modulesUlrich modulesUlrich idealsGorenstein local domainsULrich idealsweakly special Cohen-Macaulay modules

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Algebraic cycles (14C25) Cohen-Macaulay modules (13C14) McKay correspondence (14E16)

Related Items (11)

On reflexive and 𝐼-Ulrich modules over curve singularities ⋮ Good ideals and \(p_g\)-ideals in two-dimensional normal singularities ⋮ Ulrich ideals and 2-AGL rings ⋮ The Auslander-Reiten conjecture for certain non-Gorenstein Cohen-Macaulay rings ⋮ On the theory of generalized Ulrich modules ⋮ The structure of Ulrich ideals in hypersurfaces ⋮ Ulrich modules over cyclic quotient surface singularities ⋮ The structure of chains of Ulrich ideals in Cohen-Macaulay local rings of dimension one ⋮ Ulrich ideals and almost Gorenstein rings ⋮ Residually faithful modules and the Cohen-Macaulay type of idealizations ⋮ On delta invariants and indices of ideals

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