On reflexive and I-Ulrich modules over curve singularities

2021/01/07 by Hailong Dao, Dao, Hailong, Sarasij Maitra +3 · 3 citations
Mathematics · #13Bxx #13Cxx #13Gxx #13Hxx #14-XX #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2101.02641

openalex publication_date 2021/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study reflexive modules over one dimensional Cohen-Macaulay rings. Our key technique exploits the concept of I-Ulrich modules.

Citations

• Gorenstein dimension of modules
• Linear maximal Cohen-Macaulay modules over strict complete intersections

Cited by

• Annihilation of cohomology over one dimensional almost Gorenstein rings
• When is the canonical conductor minimal?
• Trace does not preserve Reflexivity

Related

• Ulrich modules over cyclic quotient surface singularities
• Ulrich modules over Cohen-Macaulay local rings with minimal multiplicity
• The classification of reflexive modules of rank one over rational and minimally elliptic singularities
• Ulrich ideals and modules over two-dimensional rational singularities
• On a generalization of Ulrich modules and its applications