Title
Lifted p-Adic Homology with Compact Supports of the Weierstrass Family and Its Zeta Endomorphism
Recommended Citation
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.
Abstract
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.
Disciplines
Mathematics
URL: http://digitalcommons.calpoly.edu/math_fac/40