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Algebraic Geometry and Commutative Algebra: In Honor of Masayoshi Nagata - Brossura

 
9781483240589: Algebraic Geometry and Commutative Algebra: In Honor of Masayoshi Nagata

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Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata presents a collection of papers on algebraic geometry and commutative algebra in honor of Masayoshi Nagata for his significant contributions to commutative algebra. Topics covered range from Weierstrass models and endomorphism algebras of abelian varieties to the generic Torelli theorem for hypersurfaces in compact irreducible hermitian symmetric spaces. Coarse moduli spaces for curves are also discussed, along with discriminants of curves of genus 2 and arithmetic surfaces. Comprised of 14 chapters, this volume begins by describing a basic fibration as a Weierstrass model, with emphasis on elliptic threefolds with a section. The reader is then introduced to canonical bundles of analytic surfaces of class VII0 with curves; Lifting Problem on ideal-adically complete noetherian rings; and the canonical ring of a curve. Subsequent chapters deal with algebraic surfaces for regular systems of weights; elementary transformations of algebraic vector bundles; the irreducibility of the first differential equation of Painlevé; and F-pure normal rings of dimension two. The book concludes with an assessment of the existence of some curves. This monograph will be a useful resource for practitioners and researchers in algebra and geometry.

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9780123480316: Algebraic Geometry and Commutative Algebra: In Honor of Masayoshi Nagata: 1

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ISBN 10:  0123480310 ISBN 13:  9780123480316
Casa editrice: Academic Pr, 1989
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Hijikata, Hiroaki (Editor) / Maruyama, Masaki (Series Editor) / Hironaka, Heisuke (Series Editor)
Editore: Academic Press, 2015
ISBN 10: 1483240584 ISBN 13: 9781483240589
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