منابع مشابه
Griffiths Groups of Supersingular Abelian Varieties
The Griffiths group Grr(X) of a smooth projective variety X over an algebraically closed field is defined to be the group of homologically trivial algebraic cycles of codimension r on X modulo the subgroup of algebraically trivial algebraic cycles. The main result of this paper is that the Griffiths group Gr(Ak̄) of a supersingular abelian variety Ak̄ over the algebraic closure of a finite field ...
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These groups form an intriguing set of invariants. Despite the vast literature on this subject, the groups have been calculated only in very few cases, such as for the projective spaces. One of the goals of this note is to understand these invariants in case the variety has “few cycles” in the sense that rational and homological equivalence coincide for all m-cycles up to a certain rank m = s. ...
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ژورنال
عنوان ژورنال: Tunisian Journal of Mathematics
سال: 2021
ISSN: 2576-7666,2576-7658
DOI: 10.2140/tunis.2021.3.589