ABELIAN FIBRATIONS AND RATIONAL POINTS ON SYMMETRIC PRODUCTS
نویسندگان
چکیده
منابع مشابه
Abelian fibrations and rational points on symmetric products
Let X be an algebraic variety defined over a number field K and X(K) its set of K-rational points. We are interested in properties of X(K) imposed by the global geometry of X. We say that rational points on X are potentially dense if there exists a finite field extension L/K such that X(L) is Zariski dense. It is expected at least for surfaces that if there are no finite étale covers of X domin...
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The following divisors in the space Sym12 P1 of twelve points on P 1 are actually the same: (A) The possible locus of the twelve nodal fibers in a rational elliptic fibration (i.e. a pencil of plane cubic curves); (B) degree 12 binary forms that can be expressed as a cube plus a square; (C) the locus of the twelve tangents to a smooth plane quartic from a general point of the plane; (D) the bra...
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ژورنال
عنوان ژورنال: International Journal of Mathematics
سال: 2000
ISSN: 0129-167X,1793-6519
DOI: 10.1142/s0129167x00000544