Singular points of algebraic varieties
| Thesis title in Czech: | Singulární body algebraických variet |
|---|---|
| Thesis title in English: | Singular points of algebraic varieties |
| Key words: | varieta, dimenze, singularita, Cohen-Macaulayovy okruhy, Goren- steinovy okruhy |
| English key words: | variety, dimension, singularity, Cohen-Macaulay rings, Gorenstein rings |
| Academic year of topic announcement: | 2011/2012 |
| Thesis type: | Bachelor's thesis |
| Thesis language: | angličtina |
| Department: | Department of Algebra (32-KA) |
| Supervisor: | doc. Mgr. Pavel Příhoda, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 07.11.2011 |
| Date of assignment: | 10.11.2011 |
| Confirmed by Study dept. on: | 02.12.2011 |
| Date and time of defence: | 21.06.2012 00:00 |
| Date of electronic submission: | 23.05.2012 |
| Date of submission of printed version: | 24.05.2012 |
| Date of proceeded defence: | 21.06.2012 |
| Opponents: | doc. RNDr. Jan Šťovíček, Ph.D. |
| Guidelines |
| Práce se zaměří na některé pojmy komutativní algebry, které jsou v algebraické geometrii využívány při zkoumání singularit.
Dále budou studovány singularity algebraických variet, například jejich hrubá klasifikace popsaná v šesté kapitole [2]. Součástí práce bude i řešení vybraných cvičení z [2] a [3]. |
| References |
| [1] D. Eisenbud, Commutative algebra with a view towards algebraic geometry, Springer, 1994.
[2] E. Kunz, Introduction to Commutative Algebra and Algebraic Geometry, Birkhauser, 1985. [3] R. Hartshorne, Algebraic Geometry, Springer, 1977. |