Titlebook: Arithmetic and Geometry; Papers Dedicated to Michael Artin,John Tate Book 1983 Springer Science+Business Media New York 1983 Arithmetic.Ir

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Examples of Surfaces of General Type with Vector Fields,The purpose of this paper is to introduce some new surfaces of general type, called generalized Raynaud surfaces, and to prove that in many cases these surfaces possess global vector fields, contradicting a guess of Rudakov-Shafarevich [3].

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Algebraic Surfaces and the Arithmetic of Braids, I,The present work is an informal continuation of [2]. Our terminology here is slightly different from that in [2]. We chose to work in affine spaces assuming always that algebraic varieties, which we consider, are in general positions to hyperplanes at ∞ and to centers of projections.

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,A Solution to Hironaka’s Polyhedra Game,In this paper we present a solution to Hironaka’s polyhedra game. That is, we prove the existence of a winning strategy for the first player.

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Progress in Mathematicshttp://image.papertrans.cn/b/image/161604.jpg

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https://doi.org/10.1007/978-1-4302-6098-1s explained by the geometry of caustics of a mapping of a Lagrange submanifold of the symplectic total space of the cotangent bundle to its base space. This Lagrange submanifold is formed by the particle velocities. Contemporary theory of the hot universe predicts a smooth potential velocity field a

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https://doi.org/10.1007/978-1-4302-6098-1ative diagram of al:fine schemes, such that Y is finitely presented over .. Our standard notation is that ., . are the spectra of . respectively, and that . is a finitely presented .-algebra. (In the body of the text, we work primarily with the rings rather than with their spectra. This reverses the