401-3145-70L  Algebraic Geometry I

SemesterAutumn Semester 2020
LecturersP. Yang
Periodicitynon-recurring course
Language of instructionEnglish
CommentRegistration for this course unit has been closed.



Courses

NumberTitleHoursLecturers
401-3145-70 VAlgebraic Geometry I
"Hybrid"
Classroom attendance is limited and is only possible upon invitation by the lecturer. All other students will have to follow the course online.
4 hrs
Tue12-14HG D 3.2 »
Thu10-12HG D 3.2 »
P. Yang
401-3145-70 UAlgebraic Geometry I
Groups are selected in myStudies.
1 hrs
Thu12-13HG D 1.1 »
12-13HG D 1.2 »
P. Yang

Catalogue data

AbstractThis course is an introduction to Algebraic Geometry (algebraic varieties).
ObjectiveLearning Algebraic Geometry.
LiteraturePrimary reference:
* I. R. Shafarevich, Basic Algebraic geometry 1 & 2, Springer-Verlag.
* M. F. Atiyah and I. G. Macdonald, Introduction to Commutative Algebra, Addison-Wesley Publ., 1969.

Secondary reference:
* Ulrich Görtz and Torsten Wedhorn: Algebraic Geometry I, Advanced Lectures in Mathematics, Springer.
* 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.
* D. Eisenbud: Commutative algebra. With a view towards algebraic geometry, GTM 150, Springer Verlag, 1995.
* H. Matsumura, Commutative ring theory, Cambridge University Press 1989.
* N. Bourbaki, Commutative Algebra.

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, http://math.stanford.edu/~vakil/216blog/
* Jean Gallier and Stephen S. Shatz, Algebraic Geometry http://www.cis.upenn.edu/~jean/algeom/steve01.html

"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, http://www.jmilne.org/math/CourseNotes/AG.pdf

Further readings:
* Günter Harder: Algebraic Geometry 1 & 2
* Alexandre Grothendieck et al.: Elements de Geometrie Algebrique EGA
* Saunders MacLane: Categories for the Working Mathematician, Springer-Verlag.
Prerequisites / NoticeLinear Algebra

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits10 credits
ExaminersP. Yang
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
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

No public learning materials available.
Only public learning materials are listed.

Groups

401-3145-70 UAlgebraic Geometry I
GroupsG-01
Thu12-13HG D 1.1 »
G-02
Thu12-13HG D 1.2 »

Restrictions

There are no additional restrictions for the registration.

Offered in

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