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401-3146-12L  Algebraic Geometry

SemesterSpring Semester 2016
LecturersR. Pandharipande
Periodicityyearly recurring course
Language of instructionEnglish


AbstractThis course is an Introduction to Algebraic Geometry (algebraic varieties and schemes).
Objective
LiteratureThe main reference for the course is
* Robin Hartshorne, Algebraic Geometry, Graduate Texts in Mathematics, Springer.

For the exercises we will also use
* Joe Harris, Algebraic Geometry, A First Course, Graduate Texts in Mathematics, Springer.

There are also some very good texts that are freely available online. I recommend two of them:
* J.S. Milne, Algebraic Geometry, http://www.jmilne.org/math/CourseNotes/AG.pdf (mainly about abstract algebraic varieties - schemes only appear in the very end)
* Ravi Vakil, Foundations of Algebraic Geometry, http://math.stanford.edu/~vakil/216blog/ (quite abstract)

Further readings:
* I. R. Shafarevich, Basic Algebraic geometry 1 & 2, Springer-Verlag.
* Ulrich Görtz and Torsten Wedhorn, Algebraic Geometry I, Advanced Lectures in Mathematics, Springer.
* Jean Gallier and Stephen S. Shatz, Algebraic Geometry http://www.cis.upenn.edu/~jean/algeom/steve01.html
Prerequisites / NoticeRequirement: Commutative Algebra course.