東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Algebraic geometry. = with examples ...

Wedhorn, Torsten.

FindBook

Google Book

Amazon

博客來

Algebraic geometry. = with examples and exercises /. I,. Schemes

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Algebraic geometry./ by Ulrich Gortz, Torsten Wedhorn.
其他題名:	with examples and exercises /
其他題名:	Schemes
作者:	Gortz, Ulrich.
其他作者:	Wedhorn, Torsten.
出版者:	Wiesbaden :Springer Fachmedien Wiesbaden : : 2020.,
面頁冊數:	vii, 626 p. :ill., digital ;24 cm.
內容註:	Introduction -- 1 Prevarieties -- 2 Spectrum of a Ring -- 3 Schemes -- 4 Fiber products -- 5 Schemes over fields -- 6 Local Properties of Schemes -- 7 Quasi-coherent modules -- 8 Representable Functors -- 9 Separated morphisms -- 10 Finiteness Conditions -- 11 Vector bundles -- 12 Affine and proper morphisms -- 13 Projective morphisms -- 14 Flat morphisms and dimension -- 15 One-dimensional schemes -- 16 Examples.
Contained By:	Springer Nature eBook
標題:	Geometry, Algebraic. -
電子資源:	https://doi.org/10.1007/978-3-658-30733-2
ISBN:	9783658307332

Algebraic geometry. = with examples and exercises /. I,. Schemes
Gortz, Ulrich.

Algebraic geometry.with examples and exercises /I,Schemes[electronic resource] :Schemesby Ulrich Gortz, Torsten Wedhorn. - Second edition. - Wiesbaden :Springer Fachmedien Wiesbaden :2020. - vii, 626 p. :ill., digital ;24 cm. - Springer studium mathematik - master,2509-9310. - Springer studium mathematik - master..

Introduction -- 1 Prevarieties -- 2 Spectrum of a Ring -- 3 Schemes -- 4 Fiber products -- 5 Schemes over fields -- 6 Local Properties of Schemes -- 7 Quasi-coherent modules -- 8 Representable Functors -- 9 Separated morphisms -- 10 Finiteness Conditions -- 11 Vector bundles -- 12 Affine and proper morphisms -- 13 Projective morphisms -- 14 Flat morphisms and dimension -- 15 One-dimensional schemes -- 16 Examples.

This book introduces the reader to modern algebraic geometry. It presents Grothendieck's technically demanding language of schemes that is the basis of the most important developments in the last fifty years within this area. A systematic treatment and motivation of the theory is emphasized, using concrete examples to illustrate its usefulness. Several examples from the realm of Hilbert modular surfaces and of determinantal varieties are used methodically to discuss the covered techniques. Thus the reader experiences that the further development of the theory yields an ever better understanding of these fascinating objects. The text is complemented by many exercises that serve to check the comprehension of the text, treat further examples, or give an outlook on further results. The volume at hand is an introduction to schemes. To get started, it requires only basic knowledge in abstract algebra and topology. Essential facts from commutative algebra are assembled in an appendix. It will be complemented by a second volume on the cohomology of schemes. For the second edition, several mistakes and many smaller errors and misprints have been corrected. Contents Prevarieties - Spectrum of a Ring - Schemes - Fiber products - Schemes over fields - Local properties of schemes - Quasi-coherent modules - Representable functors - Separated morphisms - Finiteness Conditions - Vector bundles - Affine and proper morphisms - Projective morphisms - Flat morphisms and dimension - One-dimensional schemes - Examples About the Authors Prof. Dr. Ulrich Gortz, Institute of Experimental Mathematics, University Duisburg-Essen Prof. Dr. Torsten Wedhorn, Department of Mathematics, Technical University of Darmstadt.

ISBN: 9783658307332

Standard No.: 10.1007/978-3-658-30733-2doiSubjects--Topical Terms:

532048
Geometry, Algebraic.

LC Class. No.: QA564 / .G67 2020

Dewey Class. No.: 516.35

Algebraic geometry. = with examples and exercises /. I,. Schemes
LDR:03265nmm a2200361 a 4500 001 2222680
003 DE-He213
005 20201123131517.0
006 m d
007 cr nn 008maaau
008 210108s2020 gw s 0 eng d
020 $a 9783658307332 $q (electronic bk.)
020 $a 9783658307325 $q (paper)
024 7 $a 10.1007/978-3-658-30733-2 $2 doi
035 $a 978-3-658-30733-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA564 $b .G67 2020
072 7 $a PBMW $2 bicssc
072 7 $a MAT012010 $2 bisacsh
072 7 $a PBMW $2 thema
082 0 4 $a 516.35 $2 23
090 $a QA564 $b .G675 2020
100 1 $a Gortz, Ulrich. $3 1245236
245 1 0 $a Algebraic geometry. $n I, $p Schemes $h [electronic resource] : $b with examples and exercises / $c by Ulrich Gortz, Torsten Wedhorn.
246 3 0 $a Schemes
250 $a Second edition.
260 $a Wiesbaden : $b Springer Fachmedien Wiesbaden : $b Imprint: Springer Spektrum, $c 2020.
300 $a vii, 626 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer studium mathematik - master, $x 2509-9310
505 0 $a Introduction -- 1 Prevarieties -- 2 Spectrum of a Ring -- 3 Schemes -- 4 Fiber products -- 5 Schemes over fields -- 6 Local Properties of Schemes -- 7 Quasi-coherent modules -- 8 Representable Functors -- 9 Separated morphisms -- 10 Finiteness Conditions -- 11 Vector bundles -- 12 Affine and proper morphisms -- 13 Projective morphisms -- 14 Flat morphisms and dimension -- 15 One-dimensional schemes -- 16 Examples.
520 $a This book introduces the reader to modern algebraic geometry. It presents Grothendieck's technically demanding language of schemes that is the basis of the most important developments in the last fifty years within this area. A systematic treatment and motivation of the theory is emphasized, using concrete examples to illustrate its usefulness. Several examples from the realm of Hilbert modular surfaces and of determinantal varieties are used methodically to discuss the covered techniques. Thus the reader experiences that the further development of the theory yields an ever better understanding of these fascinating objects. The text is complemented by many exercises that serve to check the comprehension of the text, treat further examples, or give an outlook on further results. The volume at hand is an introduction to schemes. To get started, it requires only basic knowledge in abstract algebra and topology. Essential facts from commutative algebra are assembled in an appendix. It will be complemented by a second volume on the cohomology of schemes. For the second edition, several mistakes and many smaller errors and misprints have been corrected. Contents Prevarieties - Spectrum of a Ring - Schemes - Fiber products - Schemes over fields - Local properties of schemes - Quasi-coherent modules - Representable functors - Separated morphisms - Finiteness Conditions - Vector bundles - Affine and proper morphisms - Projective morphisms - Flat morphisms and dimension - One-dimensional schemes - Examples About the Authors Prof. Dr. Ulrich Gortz, Institute of Experimental Mathematics, University Duisburg-Essen Prof. Dr. Torsten Wedhorn, Department of Mathematics, Technical University of Darmstadt.
650 0 $a Geometry, Algebraic. $3 532048
650 0 $a Geometry, Algebraic $v Problems, exercises, etc. $3 550192
650 1 4 $a Algebraic Geometry. $3 893861
700 1 $a Wedhorn, Torsten. $3 1245237
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Springer studium mathematik - master. $3 2203635
856 4 0 $u https://doi.org/10.1007/978-3-658-30733-2
950 $a Mathematics and Statistics (SpringerNature-11649)