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Dicriticals of pencils and Dedekind’s Gauss lemma

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Abstract

The dicritical divisors of a pencil at a simple point of a surface constitute an important tool in affine algebraic geometry, i.e., in the study of polynomial rings. These dicriticals may be viewed as certain nodes of the singularity tree of a generic member of the pencil. Dedekind’s generalization of Gauss Lemma plays a significant role.

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  1. Mathematics Department, Purdue University, West Lafayette, IN, 47907, USA

    Shreeram S. Abhyankar

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  1. Shreeram S. Abhyankar
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Correspondence to Shreeram S. Abhyankar.

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Abhyankar, S.S. Dicriticals of pencils and Dedekind’s Gauss lemma. Rev Mat Complut 26, 735–752 (2013). https://doi.org/10.1007/s13163-012-0098-7

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  • DOI: https://doi.org/10.1007/s13163-012-0098-7

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