Algebraic Geometry (engl. version)
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- The lecture takes place on Tuesday and Friday, 10.15-11.45h in the "Zeichensaal" (U.39 in building E2 5)
Hilberts Nullstellensatz, Noethernormalization and Gröbner bases, primary decomposition, Krull dimension , Going up and Going down theorems, local study of algebraic sets, smoothness and singular points, intersectionmultiplicity of curves, linear systems of plane curves, the projective space, AF+BG Theorem, Bezout's Theorem, subvarieties of the projective space, morphisms, hilbertpolynomial, Bertini's Theorem, rational maps, Cremona transformation, divisors and linear series, Riemann inequality, Riemann-Roch Theorem, differential forms, adjoint curves, Hurwitzformula, canonical curves
| W. Decker, F.-O. Schreyer | Varieties, Groebner Bases, and Algebraic Curves | Manuscript | 2009 |
| M. F. Atiyah, I. G. Macdonald | Introduction to Commutative Algebra | Addison-Wesley | 1969 |
| D. A. Cox, J. B. Little, D. B. O'Shea | Ideals, Varieties, and Algorithms | Springer | 2007 |
| M. Reid | Undergraduate Algebraic Geometry | Cambridge University Press | 1988 |
Further literature will be anounce in the lecture.
Lecture notes:
VL1, VL2, VL3, VL4, VL5, VL6, VL7, VL8, VL9, VL10, VL11, VL12, VL13, VL14, VL15, VL16, VL17, VL18, VL 19, VL20, VL21, VL22, VL23, VL24, VL25, VL26, VL27, VL28
- 4 hours lectures, 2 hours excercise session
- 9 Credit points
- 60h hours total time for lectures
- 30h hours total time for excercises
- 180h hours total time for self-study
The lecture takes place on Tuesday and Friday, 10.15-11.45h in the "Zeichensaal" (U.39 in building E2 5)
There will be exercise sheets each week. In order to be allowed to attend the exam at the end of the term, you have to achieve 50% of the maximal points in the exercises. In addition, you have to actively participate in the exercise sessions.
Exercise sheets:
schedule for the exercise sessions will be discussed in the first lecture.
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Prof. Dr. Frank-Olaf Schreyer Zi. 425, Geb. E2 4 D-66123 Saarbrücken Tel. +49(0)681/302-2785 This email address is being protected from spambots. You need JavaScript enabled to view it. |