Stable degenerations of surfaces isogenous to a product of curves
نویسندگان
چکیده
منابع مشابه
Isogenous to a Product of Curves
A smooth algebraic surface S is isogenous to a product, not of mixed type, if there exist two smooth curves C, F and a finite group G, acting faithfully on both C and F and freely on their product, so that S = (C × F )/G. In this paper we classify the surfaces of general type with pg = q = 1 which are isogenous to an unmixed product, assuming that the group G is abelian. It turns out that they ...
متن کاملON SURFACES OF GENERAL TYPE WITH pg = q = 1 ISOGENOUS TO A PRODUCT OF CURVES
A smooth algebraic surface S is said to be isogenous to a product of unmixed type if there exist two smooth curves C, F and a finite group G, acting faithfully on both C and F and freely on their product, so that S = (C × F )/G. In this paper we classify the surfaces of general type with pg = q = 1 which are isogenous to an unmixed product, assuming that the group G is abelian. It turns out tha...
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3 The unmixed case, classification of the groups 16 3.1 The case: A = [2, 3, 7]84, B ∈ N . . . . . . . . . . . . . . . . . 18 3.1.1 A = [2, 3, 7]84, B ∈ N , α(B) ≤ 21 . . . . . . . . . . . . 18 3.1.2 A = [2, 3, 7]84, B ∈ N3, α(B) = 24 . . . . . . . . . . . 19 3.1.3 A = [2, 3, 7]84, B ∈ N3, α(B) = 30 . . . . . . . . . . . 19 3.1.4 A = [2, 3, 7]84, B ∈ N3, α(B) = 36 . . . . . . . . . . . 20 3.1.5...
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15 صفحه اولOn standardized models of isogenous elliptic curves
Let E, E′ be isogenous elliptic curves over Q given by standardized Weierstrass models. We show that (in the obvious notation) a1 = a1, a ′ 2 = a2, a ′ 3 = a3 and, moreover, that there are integers t, w such that a4 = a4 − 5t and a6 = a6 − b2t − 7w, where b2 = a1 + 4a2.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2006
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-06-08517-0