401-3146-12L Algebraic Geometry
Semester | Spring Semester 2017 |
Lecturers | R. Pink |
Periodicity | yearly recurring course |
Language of instruction | English |
Courses
Number | Title | Hours | Lecturers | |||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
401-3146-12 V | Algebraic 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 |
| R. Pink | ||||||||||||
401-3146-12 U | Algebraic Geometry | 1 hrs |
| R. Pink |
Catalogue data
Abstract | This course is an Introduction to Algebraic Geometry (algebraic varieties and schemes). |
Objective | Learning Algebraic Geometry. |
Literature | Primary 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 / Notice | Requirement: 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 credits | 10 credits |
Examiners | R. Pink |
Type | session examination |
Language of examination | English |
Repetition | The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit. |
Mode of examination | oral 30 minutes |
Additional information on mode of examination | Sprache 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 link | Lecture Homepage |
Only public learning materials are listed. |
Groups
No information on groups available. |
Restrictions
There are no additional restrictions for the registration. |
Offered in
Programme | Section | Type | |
---|---|---|---|
Mathematics Bachelor | Core Courses: Pure Mathematics | W | |
Mathematics Master | Core Courses: Pure Mathematics | W |