Compositum of Galois Extensions of Hilbertian Fields
نویسندگان
چکیده
منابع مشابه
Almost Hilbertian Fields *
This paper is devoted to some variants of the Hilbert specialization property. For example, the RG-hilbertian property (for a field K), which arose in connection with the Inverse Galois Problem, requires that the specialization property holds solely for extensions of K(T ) that are Galois and regular over K. We show that fields inductively obtained from a real hilbertian field by adjoining real...
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Let K be a field, and let K be a separable closure of K. Let C be an elliptic curve over K. For each g in the Galois group G := Gal(K/K), let C be the elliptic curve obtained by conjugating C by g. One says that C is an elliptic K-curve if all the elliptic curves C are K-isogenous to C. Recall that a subfield L of K is said to be a (2, . . . , 2)-extension of K if L is a compositum of a finite ...
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تاریخ انتشار 2007