2023/07/05 by Manoj K. Keshari, Keshari, M. K., Soumi Tikader +1
Mathematics · #13B25 #13C10 #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #K-Theory and Homology (math.KT) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2307.02441
openalex publication_date 2023/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let A be a regular ring of dimension d essentially of finite type over an infinite field k of characteristic ≠ 2. Let P be a projective A-module of rank n with 2n≥ d+3. Let I be an ideal of A[T] of height n and ϕ:P[T]\twoheadrightarrow I/I2 be a surjection. If ϕ⊗ A(T) has a surjective lift θ:P[T]⊗ A(T)\twoheadrightarrow IA(T), then ϕ has a surjective lift Φ:P[T]\twoheadrightarrow I.