کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8904231 1633045 2018 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On discriminants, Tjurina modifications and the geometry of determinantal singularities
ترجمه فارسی عنوان
در تبعیض، تغییرات تورینا و هندسه تکاملی تعیین کننده
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
چکیده انگلیسی
We describe a method for computing discriminants for a large class of families of isolated determinantal singularities - families induced by perturbations of matrices. The approach intrinsically provides a decomposition of the discriminant into two parts and allows the computation of the determinantal and the non-determinantal loci of the family without extra effort; only the latter manifests itself in the Tjurina transform. This knowledge is then applied to the case of Cohen-Macaulay codimension 2 singularities putting several known, but previously unexplained observations into context and explicitly constructing a counterexample to Wahl's conjecture (see [35], section 6) on the relation of Milnor and Tjurina numbers for surface singularities.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 234, 1 February 2018, Pages 375-396
نویسندگان
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