Resumen de A transversality theorem for some classical varieties

Chih-Chi Chou

• 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.