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Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (12.09.2013)
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Last update: Liran Shaul, Ph.D. (25.09.2020)
In order to complete the course, the students must submit all homework, and to pass the final exam. |
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Last update: doc. RNDr. Jan Šťovíček, Ph.D. (12.09.2013)
[1] I. R. Shafarevich: Basic Algebraic Geometry I, Second edition, Springer-Verlag, Berlin, 1994. [2] A. Gathmann, Algebraic Geometry, http://www.mathematik.uni-kl.de/~gathmann/alggeom.php [3] D. Cox, J. Little, D. O'Shea, Ideals, Varieties, and Algorithms, Springer-Verlag, New York, 1997. [4] E. Kunz, Introduction to Commutative Algebra and Algebraic Geometry, Birkhäuser Boston, Inc., Boston, MA, 1985. [5] M. F. Atiyah, I. G. MacDonald, Introduction to Commutative Algebra, Addison-Wesley Publishing Co., 1969. [6] H. Matsumura, Commutative Ring Theory, Second edition, Cambridge University Press, 1989. |
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Last update: Liran Shaul, Ph.D. (25.09.2020)
The course is completed with a written exam. The requirements for the exam correspond to the syllabus and will be applied to the extent to which the topic was presented in lectures. It will be also demanded that the student is able to work with particular examples and do computations to the extent exercised at problem sessions or in given homework. |
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Last update: doc. RNDr. Jan Šťovíček, Ph.D. (12.09.2013)
1. the spectrum of a commutative ring and its relation to algebraic varieties, 2. geometric aspects of localization of rings, 3. maps between varieties, 4. abstract varieties, 5. projective varieties and their properties, 6. Krull dimension. |
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Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (28.06.2022)
Basics of commutative algebra on level of the course Introduction to commutative algebra. |