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401-3145-70L 10 Credits BSC , MSC D-MATH

Algebraic Geometry I

Lecturers & Examiners: Dr. Pengyu Yang
Registration for this course unit has been closed.
VVZ CR n/a

Last Updated: 2026-02-05 15:34:41

Abstract

This course is an introduction to Algebraic Geometry (algebraic varieties).

Objective

Learning Algebraic Geometry.

Resources

Literature

Primary 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.

General Information

Language
English
Levels
BSC , MSC

Examination

Type
session examination
Mode
oral 30 minutes

Course Components

Type Title Time & Place Hours
lecture Algebraic 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.
  • Tue 12:15-14:00 (HG D 3.2)
  • Thu 10:15-12:00 (HG D 3.2)
4 h weekly
exercise Algebraic Geometry I
Groups are selected in myStudies.
  • Thu 12:15-13:00 (HG D 1.1)
  • Thu 12:15-13:00 (HG D 1.2)
1 h weekly

Offered In