Algebraic Geometry (ΓΕ7)

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Graduate Courses Outlines - Department of Mathematics

General

School School of Science
Academic Unit Department of Mathematics
Level of Studies Graduate
Course Code ΓΕ7
Semester 2
Course Title Algebraic Geometry
Independent Teaching Activities Lectures (Weekly Teaching Hours: 3, Credits: 7.5)
Course Type Special Background
Prerequisite Courses -
Language of Instruction and Examinations

Greek

Is the Course Offered to Erasmus Students Yes (in English)
Course Website (URL) See eCourse, the Learning Management System maintained by the University of Ioannina.

Learning Outcomes

Learning outcomes

The aim of the course is the postgraduate student to reach a good level of theoretical background on topics related to the algebraic geormetry.

General Competences

The aim of the course is to empower the postgraduate student to analyse and compose advanced notions of Algebraic Geometry.

Syllabus

Affine Varieties, Nullstellensatz, dimension, Regular and rational functions on Varieties, Projective varieties, birational geometry, tangent space and nonsingularity, divisors, differential forms, canonical class, Riemann-Roch theorem.

Teaching and Learning Methods - Evaluation

Delivery

ΧΧΧ

Use of Information and Communications Technology

ΧΧΧ

Teaching Methods
Activity Semester Workload
Lectures 39
ΧΧΧ 000
ΧΧΧ 000
Course total 187.5
Student Performance Evaluation

ΧΧΧ

Attached Bibliography

Πρότυπο:MAM199-Biblio