Nonclassical Birational Models for Spec ℚ


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Generalized subrings of the ring of integers that give birational models for the field of rationals are studied. A homogeneous strengthening of Evdokimov’s theorem is proved. An approach to calculation of homotopy groups with the help of generalized rings is proposed.

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A. Smirnov

St.Petersburg Department of the Steklov Mathematical Institute

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Email: smirnov@pdmi.ras.ru
俄罗斯联邦, St.Petersburg

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