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Abstract: . Let X be the Fermat hypersurface of dimension 2m and of degree q + 1 defined over an algebraically closed field of characteristic p>0, where q is a power of p, and let NL m (X) be the free abelian group of numerical equivalence classes of linear subspaces of dimension m contained in X. By the intersection form, we regard NL m (X) as a lattice. Investigating the configuration of these linear subspaces, we show that the rank of NL m (X)is equal to the 2m th Betti number of X, that the... (Update)
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BibTeX entry: (Update)
@misc{ shimada-lattices,
author = "Ichiro Shimada",
title = "Lattices Of Algebraic Cycles On Fermat Varieties In Positive Characteristics",
url = "citeseer.ist.psu.edu/shimada91lattices.html" }
Citations (may not include all citations):26 Ergebnisse der Mathematik und ihrer Grenzgebiete (context) - Fulton, theory - 1984
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4 with additional contributions by E (context) - Conway, Sloane et al. - 1993
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3 Department of Mathematics (context) - van Lint, coding et al. - 1992
1 Mordell-Weil lattices in characteristic 2. II. The Leech lat.. (context) - Elkies - 1997
1 A generalization of Morin-Predonzan (context) - Shimada - 1995
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1 Lower bounds for the minima of certain symplectic and unitar.. (context) - gx, Pham - 1999
1 Permutation representations of a group of order 9, 196, 830,.. (context) - Edge - 1970
1 Forme e geometrie hermitiane, con particolare riguardo al ca.. (context) - Segre - 1965
1 More about the Mathieu group M 22 (context) - Jonsson, McKay - 1976
1 Mordell-Weil lattices in characteristic 2. I. Construction a.. (context) - Elkies - 1994
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