Projective modules over affine threefolds: a simpler case

2017/10/17 by Mrinal Kanti Das, Das, Mrinal Kanti
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1710.06853

openalex publication_date 2017/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let p≠ 2, and let R be a smooth affine algebra of dimension 3 over F_p and P, Q be projective R-modules of rank 2, each with trivial determinant. We prove: P is isomorphic to Q if and only if there is an ideal J⊂ R of height 2 such that both P and Q map onto J.

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