Noetherian intersections of regular local rings of dimension two

2017/09/01 by Heinzer, William, Olberding, Bruce
#13A15 #13C05 #13E05 #13H15 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1709.00486

Abstract

Let D be a 2-dimensional regular local ring and let Q(D) denote the quadratic tree of 2-dimensional regular local overrings of D. We examine the Noetherian rings that are intersections of rings in Q(D). To do so, we describe the desingularization of projective models over D both algebraically in terms of the saturation of complete ideals and order-theoretically in terms of the quadratic tree Q(D).

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