A transversality theorem for some classical varieties
- Autores: Chih-Chi Chou
- Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 217, Nº 12, 2013, págs. 2274-2281
- Idioma: inglés
- DOI: 10.1016/j.jpaa.2013.03.006
- Enlaces
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Resumen
In 2009, de Fernex and Hacon [10] proposed a generalization of the notion of the singularities to normal varieties that are not Q-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, Wr d for general smooth curves, and certain Schubert varieties in G(k, n) are log terminal in de Fernex and Hacon�s notion, and canonical with some suitable boundary in the classical sense.
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