منابع مشابه
Arithmetic Progressions on Conics.
In this paper, we look at long arithmetic progressions on conics. By an arithmetic progression on a curve, we mean the existence of rational points on the curve whose x-coordinates are in arithmetic progression. We revisit arithmetic progressions on the unit circle, constructing 3-term progressions of points in the first quadrant containing an arbitrary rational point on the unit circle. We als...
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In section 1, we define the abelian groups Ak(X) in a manner analagous to the homology groups Hk(X) by considering cycles of subvarieties modulo rational equivalence. In section 2, we construct, for any Cartier divisor D on X and subvariety V ⊂ X, an intersection class D · [V ] ∈ Ak−1(|D|∩|V |) and state its basic properties. Bezout’s theorem follows easily. In section 3, we discuss the centerp...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1917
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1917-02961-8