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arXiv · 1709.00486

Noetherian intersections of regular local rings of dimension two

William Heinzer·Bruce Olberding
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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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William Heinzer, Bruce Olberding. 2017-09-01. Noetherian intersections of regular local rings of dimension two. https://arxiv.org/abs/1709.00486

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