Subvarieties of general type on a general projective hypersurface

Author:
Gianluca Pacienza

Journal:
Trans. Amer. Math. Soc. **356** (2004), 2649-2661

MSC (2000):
Primary 14J70, 14K12, 14C99; Secondary 32Q45

DOI:
https://doi.org/10.1090/S0002-9947-03-03250-1

Published electronically:
October 29, 2003

MathSciNet review:
2052191

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Abstract | References | Similar Articles | Additional Information

Abstract: We study subvarieties of a general projective degree hypersurface . Our main theorem, which improves previous results of L. Ein and C. Voisin, implies in particular the following sharp corollary: any subvariety of a general hypersurface , for and , is of general type.

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Additional Information

**Gianluca Pacienza**

Affiliation:
Institut de Mathématiques de Jussieu, Université Pierre et Marie Curie, 4, Place Jussieu, F-75252 Paris Cedex 05, France

Address at time of publication:
IRMA - Université Louis Pasteur et CNRS, 7, Rue R. Descartes, 67084 Strasbourg Cedex, France

Email:
pacienza@math.jussieu.fr, pacienza@math.u-strasbg.fr

DOI:
https://doi.org/10.1090/S0002-9947-03-03250-1

Received by editor(s):
August 1, 2002

Received by editor(s) in revised form:
October 11, 2002

Published electronically:
October 29, 2003

Article copyright:
© Copyright 2003
American Mathematical Society