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Some remarks on equations defining coincident root loci
- Source :
-
Journal of Algebra . Feb2012, Vol. 352 Issue 1, p223-231. 9p. - Publication Year :
- 2012
-
Abstract
- Abstract: Let be the projective variety of binary forms of degree d whose linear factors are distributed according to the partition λ of d. We determine minimal sets of local generators of , where is the normalization of , and we show that the local Jacobian matrices of contain the product of the identity matrix of maximal rank with a unit. We use this to fill a gap in a crucial proof in Chipalkattiʼs “On equations defining Coincident Root Loci”. Also, we give a new description of the singular locus of and a criterion for the smoothness of . [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 352
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 70155782
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2011.10.045