401-3145-70L Algebraic Geometry I

Semester	Autumn Semester 2020
Lecturers	P. Yang
Periodicity	non-recurring course
Language of instruction	English
Comment	Registration for this course unit has been closed.

Courses

Number

Title

Hours

Lecturers

401-3145-70 V

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.

4 hrs

Tue	12:15-14:00	HG D 3.2 »
Thu	10:15-12:00	HG D 3.2 »

P. Yang

401-3145-70 U

Algebraic Geometry I

Groups are selected in myStudies.

1 hrs

Thu	12:15-13:00	HG D 1.1 »
	12:15-13:00	HG D 1.2 »

P. Yang

Catalogue data

Abstract	This course is an introduction to Algebraic Geometry (algebraic varieties).
Objective	Learning Algebraic Geometry.
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.
Prerequisites / Notice	Linear 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	P. Yang
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
This information can be updated until the beginning of the semester; information on the examination timetable is binding.