Editing Algebraic geometry (section)

==Further reading==
;Some classic textbooks that predate schemes:
* {{cite book
 |last=van der Waerden |first=B. L. |author-link=B. L. van der Waerden
 |year = 1945
 |title = Einfuehrung in die algebraische Geometrie
 |publisher = [[Dover]]
}}
* {{cite book |last1=Hodge |first1=W. V. D. |author-link1=W. V. D. Hodge |last2=Pedoe |first2=Daniel |author-link2=Daniel Pedoe |title=Methods of Algebraic Geometry Volume 1 |year=1994 |publisher=[[Cambridge University Press]] |isbn=978-0-521-46900-5 |zbl=0796.14001}}
* {{cite book| last1 = Hodge| first1 = W. V. D.| author-link1 = W. V. D. Hodge| last2 = Pedoe| first2 = Daniel| author-link2 = Daniel Pedoe| title = Methods of Algebraic Geometry Volume 2| year = 1994| publisher = [[Cambridge University Press]]| isbn = 978-0-521-46901-2| zbl = 0796.14002 }}
* {{cite book| last1 = Hodge| first1 = W. V. D.| author-link1 = W. V. D. Hodge| last2 = Pedoe| first2 = Daniel| author-link2 = Daniel Pedoe| title = Methods of Algebraic Geometry Volume 3| year = 1994| publisher = [[Cambridge University Press]]| isbn = 978-0-521-46775-9| zbl = 0796.14003 }}

;Modern textbooks that do not use the language of schemes:
* {{cite book| last = Garrity| first = Thomas|author-link=Thomas A. Garrity| title = Algebraic Geometry A Problem Solving Approach| year = 2013| publisher = [[American Mathematical Society]]| isbn = 978-0-821-89396-8|display-authors=etal}}
* {{cite book
 | last1=Griffiths | first1=Phillip | author-link1=Phillip Griffiths
 | last2=Harris | first2=Joe | author-link2=Joe Harris (mathematician)
 | year = 1994
 | title = Principles of Algebraic Geometry
 | publisher = [[Wiley-Interscience]]
 | isbn = 978-0-471-05059-9
 | zbl = 0836.14001
}}
* {{cite book| last = Harris| first = Joe| author-link = Joe Harris (mathematician)| title = Algebraic Geometry A First Course| year = 1995| publisher = [[Springer Science+Business Media|Springer-Verlag]]| isbn = 978-0-387-97716-4| zbl = 0779.14001 }}
* {{cite book| last = Mumford| first = David| author-link = David Mumford| title = Algebraic Geometry I Complex Projective Varieties| edition = 2nd| year = 1995| publisher = [[Springer Science+Business Media|Springer-Verlag]]| isbn = 978-3-540-58657-9| zbl = 0821.14001 }}
* {{cite book| last = Reid| first = Miles| author-link = Miles Reid| title = Undergraduate Algebraic Geometry| url = https://archive.org/details/undergraduatealg0000reid| url-access = registration| year = 1988| publisher = [[Cambridge University Press]]| isbn = 978-0-521-35662-6| zbl = 0701.14001 }}
* {{cite book| last = Shafarevich| first = Igor| author-link = Igor Shafarevich| title = Basic Algebraic Geometry I Varieties in Projective Space| edition = 2nd| year = 1995| publisher = [[Springer Science+Business Media|Springer-Verlag]]| isbn = 978-0-387-54812-8| zbl = 0797.14001| url-access = registration| url = https://archive.org/details/basicalgebraicge00irsh}}

;Textbooks in computational algebraic geometry
* {{cite book |last1=Cox |first1=David A. |author-link1=David A. Cox |last2=Little |first2=John |last3=O'Shea |first3=Donal |title=Ideals, Varieties, and Algorithms |edition=2nd |year=1997 |publisher=[[Springer Science+Business Media|Springer-Verlag]] |isbn=978-0-387-94680-1 |zbl=0861.13012}}
*{{cite book
 | last1=Schenck |first1=Hal |author-link1=Hal Schenck
 | year = 2003
 | title = Computational Algebraic Geometry
 | url=https://www.cambridge.org/us/academic/subjects/mathematics/geometry-and-topology/computational-algebraic-geometry?format=HB&isbn=9780521829649 | publisher = [[Cambridge University Press]]
}}
* {{cite book
 | last1=Basu |first1 = Saugata 
 | last2=Pollack |first2=Richard
 | last3=Roy |first3=Marie-Françoise 
 | year = 2006
 | title = Algorithms in real algebraic geometry
 | publisher = [[Springer Science+Business Media|Springer-Verlag]]
 | url = http://perso.univ-rennes1.fr/marie-francoise.roy/bpr-ed2-posted1.html
}}
* {{cite book
 | last1=González-Vega |first1=Laureano
 | last2=Recio |first2=Tómas 
 | year = 1996
 | title = Algorithms in algebraic geometry and applications
 | publisher = Birkhaüser
}}
* {{cite book
 | editor1-last=Elkadi |editor1-first=Mohamed 
 | editor2-last=Mourrain |editor2-first=Bernard 
 | editor3-last=Piene |editor3-first=Ragni 
 | year = 2006
 | title = Algebraic geometry and geometric modeling
 | publisher = [[Springer Science+Business Media|Springer-Verlag]]
}}
* {{cite book
 | editor1-last=Dickenstein |editor1-first=Alicia|editor1-link=Alicia Dickenstein
 | editor2-last=Schreyer |editor2-first=Frank-Olaf
 | editor3-last=Sommese |editor3-first=Andrew J.
 | year = 2008
 | title = Algorithms in Algebraic Geometry
 | volume=146
 | series=The IMA Volumes in Mathematics and its Applications
 | publisher = [[Springer Science+Business Media|Springer]]
 | isbn=9780387751559
 | lccn=2007938208
}}
* {{cite book
 | last1=Cox |first1=David A. |author-link1=David A. Cox
 | last2=Little |first2=John B.
 | last3=O'Shea |first3=Donal 
 | year = 1998
 | title = Using algebraic geometry
 | url=https://archive.org/details/springer_10.1007-978-1-4757-6911-1 | publisher = [[Springer Science+Business Media|Springer-Verlag]]
}}
* {{cite book
 | last1=Caviness |first1=Bob F.
 | last2=Johnson |first2=Jeremy R. 
 | year = 1998
 | title = Quantifier elimination and cylindrical algebraic decomposition
 | publisher = [[Springer Science+Business Media|Springer-Verlag]]
}}

;Textbooks and references for schemes:
* {{cite book |last1=Eisenbud |first1=David |author-link1=David Eisenbud |last2=Harris |first2=Joe |author-link2=Joe Harris (mathematician) |title=The Geometry of Schemes |url=https://archive.org/details/springer_10.1007-978-0-387-22639-2 |year=1998 |publisher=[[Springer Science+Business Media|Springer-Verlag]] |isbn=978-0-387-98637-1 |zbl=0960.14002}}
* {{cite book
 | last=Grothendieck |first=Alexander |author-link=Alexander Grothendieck
 | year = 1960
 | title = Éléments de géométrie algébrique
 | publisher = [[Publications Mathématiques de l'IHÉS]]
 | zbl = 0118.36206
|title-link=Éléments de géométrie algébrique }}
* {{cite book |last1=Grothendieck |first1=Alexander |author-link1=Alexander Grothendieck |last2=Dieudonné |first2=Jean Alexandre |title=Éléments de géométrie algébrique |edition=2nd |volume=1 |year=1971 |publisher=[[Springer Science+Business Media|Springer-Verlag]] |isbn=978-3-540-05113-8 |zbl=0203.23301|title-link=Éléments de géométrie algébrique }}
* {{cite book |last=Hartshorne |first=Robin |author-link=Robin Hartshorne |title=Algebraic Geometry |year=1977 |publisher=[[Springer Science+Business Media|Springer-Verlag]] |isbn=978-0-387-90244-9 |zbl=0367.14001|title-link=Algebraic Geometry (book) }}
* {{cite book |last=Mumford |first=David |author-link=David Mumford |title=The Red Book of Varieties and Schemes Includes the Michigan Lectures on Curves and Their Jacobians |edition=2nd |year=1999 |publisher=[[Springer Science+Business Media|Springer-Verlag]] |isbn=978-3-540-63293-1 |zbl=0945.14001}}
* {{cite book| last = Shafarevich| first = Igor| author-link = Igor Shafarevich| title = Basic Algebraic Geometry II Schemes and complex manifolds| edition = 2nd| year = 1995| publisher = [[Springer Science+Business Media|Springer-Verlag]]| isbn = 978-3-540-57554-2| zbl = 0797.14002| url-access = registration| url = https://archive.org/details/basicalgebraicge00irsh}}