Algebraic geometry

Robin Hartshorne

An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles.

「Nielsen BookData」より

An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles.

「Nielsen BookData」より

[目次]

  • Introduction. 1: Varieties. 2: Schemes. 3: Cohomology. 4: Curves. 5: Surfaces. Appendix A: Intersection Theory. B: Transcendental Methods. C: The Weil Conjectures. Bibliography. Results from Algebra. Glossary of Notations. Index.

「Nielsen BookData」より

[目次]

  • Introduction. 1: Varieties. 2: Schemes. 3: Cohomology. 4: Curves. 5: Surfaces. Appendix A: Intersection Theory. B: Transcendental Methods. C: The Weil Conjectures. Bibliography. Results from Algebra. Glossary of Notations. Index.

「Nielsen BookData」より

この本の情報

書名 Algebraic geometry
著作者等 Hartshorne, Robin
シリーズ名 Graduate texts in mathematics
出版元 Springer-Verlag
刊行年月 c1977
版表示 1st ed. 1977. Corr. 8th printing 1997
ページ数 xvi, 496 p.
大きさ 25 cm
ISBN 3540902449
9781441928078
9780387902449
NCID BA00124029
※クリックでCiNii Booksを表示
言語 英語
出版国 アメリカ合衆国
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