On the tangent spaces of Chow groups of certain projective hypersurfaces

Author:
Avery Ching

Journal:
Proc. Amer. Math. Soc. **132** (2004), 325-331

MSC (2000):
Primary 14C15; Secondary 19D45

DOI:
https://doi.org/10.1090/S0002-9939-03-07154-5

Published electronically:
July 2, 2003

MathSciNet review:
2022352

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Abstract: In this paper, the Chow groups of projective hypersurfaces are studied. We will prove that if the degree of the hypersurface is sufficiently high, its Chow group is ``small'' in the sense that its formal tangent space vanishes. Then, we will give an example in which the formal tangent space is infinite dimensional.

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Additional Information

**Avery Ching**

Affiliation:
Department of Mathematics, Johns Hopkins University, Baltimore, Maryland 21218-2686

Email:
aching@math.jhu.edu

DOI:
https://doi.org/10.1090/S0002-9939-03-07154-5

Received by editor(s):
May 20, 2001

Received by editor(s) in revised form:
September 30, 2002

Published electronically:
July 2, 2003

Communicated by:
Michael Stillman

Article copyright:
© Copyright 2003
American Mathematical Society