Nonclassical Birational Models for Spec ℚ


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Abstract

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.

About the authors

A. L. Smirnov

St.Petersburg Department of the Steklov Mathematical Institute

Author for correspondence.
Email: smirnov@pdmi.ras.ru
Russian Federation, St.Petersburg

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