語系:
繁體中文
English
說明(常見問題)
圖資館首頁
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
An undergraduate primer in algebraic...
~
Ciliberto, Ciro.
An undergraduate primer in algebraic geometry
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
An undergraduate primer in algebraic geometryby Ciro Ciliberto.
作者:
Ciliberto, Ciro.
出版者:
Cham :Springer International Publishing :2021.
面頁冊數:
xi, 327 p. :ill., digital ;24 cm.
Contained By:
Springer Nature eBook
標題:
Geometry, Algebraic.
電子資源:
https://doi.org/10.1007/978-3-030-71021-7
ISBN:
9783030710217$q(electronic bk.)
An undergraduate primer in algebraic geometry
Ciliberto, Ciro.
An undergraduate primer in algebraic geometry
[electronic resource] /by Ciro Ciliberto. - Cham :Springer International Publishing :2021. - xi, 327 p. :ill., digital ;24 cm. - Unitext ;v.129. - Unitext ;v.87..
1 Affine and projective algebraic sets -- 2 Basic notions of elimination theory and applications -- 3 Zariski closed subsets and ideals in the polynomials ring -- 4 Some topological properties -- 5 Regular and rational functions -- 6 Morphisms -- 7 Rational maps -- 8 Product of varieties -- 9 More on elimination theory -- 10 Finite morphisms -- 11 Dimension -- 12 The Cayley form -- 13 Grassmannians -- 14 Smooth and singular points -- 15 Power series -- 16 A ne plane curves -- 17 Projective plane curves -- 18 Resolution of singularities of curves -- 19 Divisors, linear equivalence, linear series -- 20 The Riemann-Roch Theorem.
This book consists of two parts. The first is devoted to an introduction to basic concepts in algebraic geometry: affine and projective varieties, some of their main attributes and examples. The second part is devoted to the theory of curves: local properties, affine and projective plane curves, resolution of singularities, linear equivalence of divisors and linear series, Riemann-Roch and Riemann-Hurwitz Theorems. The approach in this book is purely algebraic. The main tool is commutative algebra, from which the needed results are recalled, in most cases with proofs. The prerequisites consist of the knowledge of basics in affine and projective geometry, basic algebraic concepts regarding rings, modules, fields, linear algebra, basic notions in the theory of categories, and some elementary point-set topology. This book can be used as a textbook for an undergraduate course in algebraic geometry. The users of the book are not necessarily intended to become algebraic geometers but may be interested students or researchers who want to have a first smattering in the topic. The book contains several exercises, in which there are more examples and parts of the theory that are not fully developed in the text. Of some exercises, there are solutions at the end of each chapter.
ISBN: 9783030710217$q(electronic bk.)
Standard No.: 10.1007/978-3-030-71021-7doiSubjects--Topical Terms:
190843
Geometry, Algebraic.
LC Class. No.: QA564 / .C555 2021
Dewey Class. No.: 516.35
An undergraduate primer in algebraic geometry
LDR
:02923nmm a2200337 a 4500
001
597998
003
DE-He213
005
20210730110404.0
006
m d
007
cr nn 008maaau
008
211019s2021 sz s 0 eng d
020
$a
9783030710217$q(electronic bk.)
020
$a
9783030710200$q(paper)
024
7
$a
10.1007/978-3-030-71021-7
$2
doi
035
$a
978-3-030-71021-7
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA564
$b
.C555 2021
072
7
$a
PBM
$2
bicssc
072
7
$a
MAT012000
$2
bisacsh
072
7
$a
PBM
$2
thema
082
0 4
$a
516.35
$2
23
090
$a
QA564
$b
.C572 2021
100
1
$a
Ciliberto, Ciro.
$3
276655
245
1 3
$a
An undergraduate primer in algebraic geometry
$h
[electronic resource] /
$c
by Ciro Ciliberto.
260
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2021.
300
$a
xi, 327 p. :
$b
ill., digital ;
$c
24 cm.
490
1
$a
Unitext ;
$v
v.129
505
0
$a
1 Affine and projective algebraic sets -- 2 Basic notions of elimination theory and applications -- 3 Zariski closed subsets and ideals in the polynomials ring -- 4 Some topological properties -- 5 Regular and rational functions -- 6 Morphisms -- 7 Rational maps -- 8 Product of varieties -- 9 More on elimination theory -- 10 Finite morphisms -- 11 Dimension -- 12 The Cayley form -- 13 Grassmannians -- 14 Smooth and singular points -- 15 Power series -- 16 A ne plane curves -- 17 Projective plane curves -- 18 Resolution of singularities of curves -- 19 Divisors, linear equivalence, linear series -- 20 The Riemann-Roch Theorem.
520
$a
This book consists of two parts. The first is devoted to an introduction to basic concepts in algebraic geometry: affine and projective varieties, some of their main attributes and examples. The second part is devoted to the theory of curves: local properties, affine and projective plane curves, resolution of singularities, linear equivalence of divisors and linear series, Riemann-Roch and Riemann-Hurwitz Theorems. The approach in this book is purely algebraic. The main tool is commutative algebra, from which the needed results are recalled, in most cases with proofs. The prerequisites consist of the knowledge of basics in affine and projective geometry, basic algebraic concepts regarding rings, modules, fields, linear algebra, basic notions in the theory of categories, and some elementary point-set topology. This book can be used as a textbook for an undergraduate course in algebraic geometry. The users of the book are not necessarily intended to become algebraic geometers but may be interested students or researchers who want to have a first smattering in the topic. The book contains several exercises, in which there are more examples and parts of the theory that are not fully developed in the text. Of some exercises, there are solutions at the end of each chapter.
650
0
$a
Geometry, Algebraic.
$3
190843
650
1 4
$a
Geometry.
$3
183883
650
2 4
$a
Projective Geometry.
$3
676333
650
2 4
$a
Algebra.
$3
188312
710
2
$a
SpringerLink (Online service)
$3
273601
773
0
$t
Springer Nature eBook
830
0
$a
Unitext ;
$v
v.87.
$3
725084
856
4 0
$u
https://doi.org/10.1007/978-3-030-71021-7
950
$a
Mathematics and Statistics (SpringerNature-11649)
筆 0 讀者評論
全部
電子館藏
館藏
1 筆 • 頁數 1 •
1
條碼號
館藏地
館藏流通類別
資料類型
索書號
使用類型
借閱狀態
預約狀態
備註欄
附件
000000196728
電子館藏
1圖書
電子書
EB QA564 .C572 2021 2021
一般使用(Normal)
在架
0
1 筆 • 頁數 1 •
1
多媒體
多媒體檔案
https://doi.org/10.1007/978-3-030-71021-7
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼
登入