2013/01/07 by Tony J. Puthenpurakal, Puthenpurakal, Tony J. · 1 citation
Mathematics · #13D45 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #Complex Variables (math.CV) #FOS: Mathematics #Primary 13N10 #Secondary 13C11
paper · pdf · doi:10.48550/arxiv.1301.1176
openalex publication_date 2013/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let R be a regular domain containing a field K of characteristic zero and let D be the ring of K-linear differential operators on R. Let E be an injective left D-module. We ask the question, when is E injective as a R-module? We show that this is indeed the case when R = K[X1,...,Xn] or R = K[[X1,...,Xn]] or R = ℂ\z1,...,zn\. We also give an application of our result to local cohomology.