401-3146-12L  Algebraic Geometry

SemesterSpring Semester 2017
LecturersR. Pink
Periodicityyearly recurring course
Language of instructionEnglish



Courses

NumberTitleHoursLecturers
401-3146-12 VAlgebraic Geometry
The two-weekly classes on Friday compensate for the six hours that fall on "Sechseläuten" , May 1st, and Ascension Day.
The class in the two-weekly series scheduled for March 10th is preponed to March 3rd.
4 hrs
Mon15:15-17:00HG G 3 »
Thu15:15-17:00HG G 3 »
Fri/2w13:15-14:00HG G 3 »
03.03.13:15-14:00HG G 3 »
R. Pink
401-3146-12 UAlgebraic Geometry1 hrs
Fri11:15-12:00ML F 36 »
11:15-12:00ML H 43 »
31.05.12:15-13:00HG F 26.5 »
R. Pink

Catalogue data

AbstractThis course is an Introduction to Algebraic Geometry (algebraic varieties and schemes).
ObjectiveLearning Algebraic Geometry.
LiteraturePrimary reference:
* Ulrich Görtz and Torsten Wedhorn: Algebraic Geometry I, Advanced Lectures in Mathematics, Springer.

Secondary reference:
* Qing Liu: Algebraic Geometry and Arithmetic Curves, Oxford Science Publications.
* Robin Hartshorne: Algebraic Geometry, Graduate Texts in Mathematics, Springer.
* Siegfried Bosch: Algebraic Geometry and Commutative Algebra (Springer 2013).

Other good textbooks and online texts are:
* David Eisenbud, Joe Harris: The Geometry of Schemes, Graduate Texts in Mathematics, Springer.
* Ravi Vakil, Foundations of Algebraic Geometry, Link
* Jean Gallier and Stephen S. Shatz, Algebraic Geometry Link

"Classical" Algebraic Geometry over an algebraically closed field:
* Joe Harris, Algebraic Geometry, A First Course, Graduate Texts in Mathematics, Springer.
* J.S. Milne, Algebraic Geometry, Link

Further readings:
* Günter Harder: Algebraic Geometry 1 & 2
* I. R. Shafarevich, Basic Algebraic geometry 1 & 2, Springer-Verlag.
* Alexandre Grothendieck et al.: Elements de Geometrie Algebrique EGA
* Saunders MacLane: Categories for the Working Mathematician, Springer-Verlag.
Prerequisites / NoticeRequirement: Some knowledge of Commutative Algebra.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits10 credits
ExaminersR. Pink
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationoral 30 minutes
Additional information on mode of examinationSprache auf Wunsch auch Deutsch möglich
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

 
Main linkLecture Homepage
Only public learning materials are listed.

Groups

No information on groups available.

Restrictions

There are no additional restrictions for the registration.

Offered in

ProgrammeSectionType
Mathematics BachelorCore Courses: Pure MathematicsWInformation
Mathematics MasterCore Courses: Pure MathematicsWInformation