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Geometry Over Nonclosed Fields, Simons Symposia by Fedor Bogomolov | | Booktopia

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Based on the Simons Symposia held in , the proceedings in this volume focus on rational curves on higher-dimensional algebraic varieties and applications of the theory of curves to arithmetic problems. There has been significant progress in this field with major new results, which have given new impetus to the study of rational curves and spaces of rational curves on K3 surfaces and their higher-dimensional generalizations.

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The implementation of this idea led to proofs of long-standing conjectures concerning birational properties of holomorphic symplectic varieties, which in turn should yield new theorems in arithmetic. This proceedings volume covers these new insights in detail. JavaScript is currently disabled, this site works much better if you enable JavaScript in your browser.

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Geometry Over Nonclosed Fields: Geometry and Arithmetic of Holomorphic Symplectic Varieties (2015)

Simons Symposia Free Preview. Covers exciting new research in the fields of classical algebraic geometry and arithmetic geometry Examines recent research and results concerning K3-surfaces, including formulations of the Torelli Theorem for K3-surfaces and the arithmetic of K3-surfaces.

Provides students and researchers with fresh discussions of classical, long-standing problems. Buy eBook.

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