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Publications [#287259] of Richard Hain
search arxiv.org.Papers Published
- Elizondo, EJ; Hain, RM, Chow varieties of abelian varieties,
Sociedad Matemática Mexicana. Boletí n. Tercera Serie, vol. 2 no. 2
(1996),
pp. 95-99
(last updated on 2024/04/23)
Abstract: We prove that if A is an abelian variety over ℂ acting algebraically on a complex projective variety X, then the Euler characteristic of X equals the Euler characteristic of the fixed point set XA. We obtain that if A is an abelian variety and X is a principal A-bundle over a projective variety Y, then the Euler characteristic of a Chow variety in X equals either zero or the Euler characteristic of a Chow variety of Y.
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