منابع مشابه
Torsion of Abelian Varieties, Weil Classes and Cyclotomic Extensions
Let K ⊂ C be a field finitely generated over Q, K(a) ⊂ C the algebraic closure of K, G(K) = Gal(K(a)/K its Galois group. For each positive integer m we write K(μm) for the subfield of K(a) obtained by adjoining to K all mth roots of unity. For each prime l we write K(l) for the subfield of K(a) obtained by adjoining to K all l−power roots of unity. We write K(c) for the subfield of K(a) obtaine...
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Then C∼(X) df = ⊕sC ∼(X) becomes a graded Q-algebra under the intersection product, and we define D∼(X) to be the Q-subalgebra of C∼(X) generated by the divisor classes: D∼(X) = Q[C ∼(X)]. The elements of D∼(X) will be called the Lefschetz classes on X (for the relation ∼). They are the algebraic classes on X expressible as linear combinations of intersections of divisor classes (including the ...
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 1998
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crll.1998.034