Endomorphism Algebras of Jacobians
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Jordan S. Ellenberg
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Article
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2001
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Elsevier Science
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English
โ 228 KB
Very little is known about the existence of curves, and families of curves, whose Jacobians are acted on by large rings of endomorphisms. In this paper, we show the existence of curves X with an injection K / ร Hom(Jac(X ), Jac(X )) Z Q, where K is a subfield of even index at most 10 in a primitive