The Resource Algebraic Geometry : An Introduction, by Daniel Perrin, (electronic resource)

Algebraic Geometry : An Introduction, by Daniel Perrin, (electronic resource)

Label
Algebraic Geometry : An Introduction
Title
Algebraic Geometry
Title remainder
An Introduction
Statement of responsibility
by Daniel Perrin
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
Aimed primarily at graduate students and beginning researchers, this book provides an introduction to algebraic geometry that is particularly suitable for those with no previous contact with the subject and assumes only the standard background of undergraduate algebra. It is developed from a masters course given at the Université Paris-Sud, Orsay, and focusses on projective algebraic geometry over an algebraically closed base field. The book starts with easily-formulated problems with non-trivial solutions – for example, Bézout’s theorem and the problem of rational curves – and uses these problems to introduce the fundamental tools of modern algebraic geometry: dimension; singularities; sheaves; varieties; and cohomology. The treatment uses as little commutative algebra as possible by quoting without proof (or proving only in special cases) theorems whose proof is not necessary in practice, the priority being to develop an understanding of the phenomena rather than a mastery of the technique. A range of exercises is provided for each topic discussed, and a selection of problems and exam papers are collected in an appendix to provide material for further study
Member of
Is Subseries of
http://library.link/vocab/creatorName
Perrin, Daniel
Dewey number
516.35
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
wDWqT8VWyVA
Intended audience
Recomendada
Language note
English
LC call number
QA564-609
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Geometry, algebraic
  • Algebra
  • Mathematics
  • Algebraic Geometry
  • General Algebraic Systems
  • Mathematics, general
Label
Algebraic Geometry : An Introduction, by Daniel Perrin, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Affine algebraic sets -- Projective algebraic sets -- Sheaves and varieties -- Dimension -- Tangent spaces and singular points -- Bézout's theorem -- Sheaf cohomology -- Arithmetic genus of curves and the weak Riemann-Roch theorem -- Rational maps, geometric genus and rational curves -- Liaison of space curves
Dimensions
unknown
Edition
1st ed. 2008.
Extent
1 online resource (266 p.)
Form of item
online
Isbn
9781848000568
Media category
computer
Media type code
c
Other control number
10.1007/978-1-84800-056-8
Specific material designation
remote
System control number
  • (CKB)1000000000491936
  • (EBL)3062950
  • (SSID)ssj0000316136
  • (PQKBManifestationID)11228959
  • (PQKBTitleCode)TC0000316136
  • (PQKBWorkID)10263069
  • (PQKB)10050525
  • (DE-He213)978-1-84800-056-8
  • (MiAaPQ)EBC3062950
  • (EXLCZ)991000000000491936
Label
Algebraic Geometry : An Introduction, by Daniel Perrin, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Affine algebraic sets -- Projective algebraic sets -- Sheaves and varieties -- Dimension -- Tangent spaces and singular points -- Bézout's theorem -- Sheaf cohomology -- Arithmetic genus of curves and the weak Riemann-Roch theorem -- Rational maps, geometric genus and rational curves -- Liaison of space curves
Dimensions
unknown
Edition
1st ed. 2008.
Extent
1 online resource (266 p.)
Form of item
online
Isbn
9781848000568
Media category
computer
Media type code
c
Other control number
10.1007/978-1-84800-056-8
Specific material designation
remote
System control number
  • (CKB)1000000000491936
  • (EBL)3062950
  • (SSID)ssj0000316136
  • (PQKBManifestationID)11228959
  • (PQKBTitleCode)TC0000316136
  • (PQKBWorkID)10263069
  • (PQKB)10050525
  • (DE-He213)978-1-84800-056-8
  • (MiAaPQ)EBC3062950
  • (EXLCZ)991000000000491936

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