Math @ Duke

Publications [#287259] of Richard Hain
search www.ams.org.Papers Published
 Elizondo, EJ; Hain, RM, Chow varieties of Abelian varieties,
Boletin de la Sociedad Matematica Mexicana, vol. 2 no. 2
(1996),
pp. 9599
(last updated on 2019/03/19)
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 Abundle 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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