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Introduction to singularities / Shihoko Ishii.

By: Material type: TextTextPublication details: Tokyo : Springer, 2014.Description: viii, 223 p. : illustrations ; 24 cmISBN:
  • 9784431550808 (alk. paper)
Subject(s): DDC classification:
  • 516.35 23 Is79
Contents:
1. Warming up -- 2. Sheaves, algebraic varieties and analytic spaces -- 3. Homological algebra and duality -- 4. Definition of a singularity, resolutions of singularities -- 5. Divisors and sheaves on a variety -- 6. Differential forms around a singularity -- 7. Normal two-dimensional singularities -- 8. Higher-dimensional singularities -- 9. Deformations of singularities-- References-- Index.
Summary: This book presents some results of the study of singularities within the field of algebraic geometry. ... The text is clear and well written and it is accessible to non-expert readers. ... the author defines all the concepts and the results are either proved or a reference is provided. This makes the book self-contained in a broad sense.
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Includes bibliographical references and index.

1. Warming up --
2. Sheaves, algebraic varieties and analytic spaces --
3. Homological algebra and duality --
4. Definition of a singularity, resolutions of singularities --
5. Divisors and sheaves on a variety --
6. Differential forms around a singularity --
7. Normal two-dimensional singularities --
8. Higher-dimensional singularities --
9. Deformations of singularities--
References--
Index.

This book presents some results of the study of singularities within the field of algebraic geometry. ... The text is clear and well written and it is accessible to non-expert readers. ... the author defines all the concepts and the results are either proved or a reference is provided. This makes the book self-contained in a broad sense.

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