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_a9781470466657 _q(paperback) |
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| 040 |
_aNISER LIBRARY _beng _cNISER LIBRARY |
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| 082 |
_a512.7 _bOSS-C |
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| 100 | 1 | _aOsserman, Brian | |
| 245 | _aConcise introduction to algebraic varieties | ||
| 260 |
_aProvidence, Rhode Island : _bAmerican Mathematical Society, _c2021. |
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| 300 |
_axvi, 259 pages : _billustrations ; _c26 cm. |
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| 490 |
_aGraduate studies in mathematics, _vv. 216 _x1065-7339 ; |
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| 504 | _aIncludes bibliographical references (pages 247-249) and index. | ||
| 520 | _aDesigned for a one-term introductory course on algebraic varieties over an algebraically closed field, this book prepares students to continue either with a course on schemes and cohomology, or to learn more specialized topics such as toric varieties and moduli spaces of curves. The book balances generality and accessibility by presenting local and global concepts, such as nonsingularity, normality, and completeness using the language of atlases, an approach that is most commonly associated with differential topology. The book concludes with a discussion of the Riemann-Roch theorem, the Brill-Noether theorem, and applications. The prerequisites for the book are a strong undergraduate algebra course and a working familiarity with basic point-set topology. A course in graduate algebra is helpful but not required. The book includes appendices presenting useful background in complex analytic topology and commutative algebra and provides plentiful examples and exercises that help build intuition and familiarity with algebraic varieties. | ||
| 521 | _aUndergraduate and graduate students interested in an introduction to fundamentals of algebraic geometry. | ||
| 650 | _aAlgebraic varieties | ||
| 650 |
_aAlgebraic geometry _vInstructional exposition (textbooks, tutorial papers, etc.) |
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| 650 |
_aAlgebraic geometry _xFoundations _xVarieties and morphisms. |
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| 650 |
_aAlgebraic geometry _xLocal theory _xSingularities |
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| 856 |
_3Table of Contents _uhttps://www.ams.org/bookstore/pspdf/gsm-216-toc.pdf?_gl=1*1lm8dff*_ga*NzkyMDE0ODczLjE3NTAwNDYzMjU.*_ga_26G4XFTR63*czE3NjA1MjI5MjEkbzEyJGcxJHQxNzYwNTIyOTU0JGoyNyRsMCRoMA.. |
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| 856 |
_3Reviews _uhttps://www.goodreads.com/book/show/61185692-a-concise-introduction-to-algebraic-varieties?ref=nav_sb_ss_1_13#CommunityReviews |
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