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Syllabus FUNDAMENTAL CONCEPTS IN ALGEBRAIC GEOMETRY 1 - 80989
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Last update 09-09-2015
HU Credits: 6

Degree/Cycle: 2nd degree (Master)

Responsible Department: mathematics

Semester: 2nd Semester

Teaching Languages: Hebrew

Campus: E. Safra

Course/Module Coordinator: Yakov Varshavsky

Coordinator Email: vyakov@math.huji.ac.il

Coordinator Office Hours: by appointment

Teaching Staff:
Prof Yakov Varshavsky
Mr. Uri Brezner

Course/Module description:
The course will be based on the book of Hartshorne.
We will cover the following
topics: affine varieties, quasi-projective varieties,
morphisms, rational maps,
Bezout theorem, curves.
Sheaves, schemes, separated, proper and quasi-projective morphisms, divisors.
Sheaf cohomology, Chech cohomology, Riemann-Roch theorem for curves.

Course/Module aims:
Introduction to Algebraic geometry

Learning outcomes - On successful completion of this module, students should be able to:
Familiarity with basic concepts on algebraic geometry.

Ability to prove theorems and algebraic geometry and understanding their applications.

Understanding the connection between geometry and algebra.

Building the foundations for further research in this field.

Attendance requirements(%):
0

Teaching arrangement and method of instruction: Lecture and Exercise

Course/Module Content:
The course will be based on the book of Hartshorne.
We will cover the following
topics: affine varieties, quasi-projective varieties,
morphisms, rational maps,
Bezout theorem, curves.
Sheaves, schemes, separated, proper and quasi-projective morphisms, divisors.
Sheaf cohomology, Chech cohomology, Riemann-Roch theorem for curves.

Required Reading:
None

Additional Reading Material:
None

Course/Module evaluation:
End of year written/oral examination 0 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 0 %
Assignments 100 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %

Additional information:
None
 
Students needing academic accommodations based on a disability should contact the Center for Diagnosis and Support of Students with Learning Disabilities, or the Office for Students with Disabilities, as early as possible, to discuss and coordinate accommodations, based on relevant documentation.
For further information, please visit the site of the Dean of Students Office.
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