naa a22 4500 510760821 CHVBK 20180411083138.0 cr unu---uuuuu 180411e20130701xx s 000 0 eng 10.1007/s13163-012-0098-7 doi (NATIONALLICENCE)springer-10.1007/s13163-012-0098-7 Abhyankar Shreeram Mathematics Department, Purdue University, 47907, West Lafayette, IN, USA aut Dicriticals of pencils and Dedekind's Gauss lemma [Elektronische Daten] [Shreeram Abhyankar] 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. Revista Matemática Complutense, 2012 Dicritical divisor nationallicence Pencil nationallicence Singularity tree nationallicence Generic member nationallicence Revista Matemática Complutense Springer Milan 26/2(2013-07-01), 735-752 1139-1138 26:2<735 2013 26 13163 https://doi.org/10.1007/s13163-012-0098-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s13163-012-0098-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Abhyankar Shreeram Mathematics Department, Purdue University, 47907, West Lafayette, IN, USA aut NATIONALLICENCE 773 0- Revista Matemática Complutense Springer Milan 26/2(2013-07-01), 735-752 1139-1138 26:2<735 2013 26 13163 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer