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A transversality theorem for some classical varieties.
- Source :
-
Journal of Pure & Applied Algebra . Dec2013, Vol. 217 Issue 12, p2274-2281. 8p. - Publication Year :
- 2013
-
Abstract
- Abstract: In 2009, de Fernex and Hacon [10] proposed a generalization of the notion of the singularities to normal varieties that are not -Gorenstein. Based on their work, we generalize Kleiman’s transversality theorem to subvarieties with log terminal or log canonical singularities. We also show that some classical varieties, such as generic determinantal varieties, for general smooth curves, and certain Schubert varieties in are log terminal in de Fernex and Hacon’s notion, and canonical with some suitable boundary in the classical sense. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 217
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 89108851
- Full Text :
- https://doi.org/10.1016/j.jpaa.2013.03.006