Non-Ulrich representation type

2019/07/05 by Daniele Faenzi, Faenzi, Daniele, Francesco Malaspina +3 · 1 citation
Mathematics · #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.1907.02694

openalex publication_date 2019/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that a smooth projective non-degenerate arithmetically Cohen-Macaulay subvariety X of P^N infinite Cohen-Macaulay type becomes of finite Cohen-Macaulay type by removing Ulrich bundles if and only if N = 5 and X is a quartic scroll or the Segre product of a line and a plane. In turn, we give a complete and explicit classification of ACM bundles over these varieties.

Citations

• Vector Bundles Over an Elliptic Curve

Cited by

• On Ulrich bundles on some decomposable threefold scrolls over \mathbb F_a

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