Postprint version. Published in Journal of Number Theory, Volume 35, Issue 2, June 1, 1990, pages 216-223. Copyright © 1986 Elsevier. The definitive version is available at http://dx.doi.org/10.1016/0022-314X(90)90114-7.
NOTE: At the time of publication, the author Goro Kato was not yet affiliated with Cal Poly.
The relations among the generators for the lifted p-adic homology with compact supports of the various subfamilies of the Weierstrass family in characteristic p > 0 (p ≠ 2, 3) are explicitly given in Section 2. Then, the universal coefficient spectral sequence and the zeta endomorphism in Section 3 enable one to compute explicitly the lifted p-adic homology with compact supports of all fibres, including all the elliptic curves and all their singular degenerations in the family.