Permutohedrální variety jakožto Chowovy kvocienty
| Thesis title in Czech: | Permutohedrální variety jakožto Chowovy kvocienty |
|---|---|
| Thesis title in English: | Permutohedral varieties as a Chow quotients |
| Academic year of topic announcement: | 2023/2024 |
| Thesis type: | Bachelor's thesis |
| Thesis language: | |
| Department: | Department of Algebra (32-KA) |
| Supervisor: | doc. RNDr. Jan Šťovíček, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 17.04.2024 |
| Date of assignment: | 17.04.2024 |
| Confirmed by Study dept. on: | 01.05.2024 |
| Advisors: | prof. Mateusz Michalek, Dr. |
| Guidelines |
| The aim of the thesis is to identify the (complex toric) permutohedral variety with the Chow quotient of a specific C^*-action on a product of projective lines. This will be achieved by an explicit bijection between points of the permutohedral variety and (unions of closures of) C^*-orbits of the action. |
| References |
| [1] D. A. Cox, J. B. Little, H. K. Schenck, Toric varieties, Grad. Stud. Math. 124, AMS, Providence, RI, 2011.
[2] C. Eur, J. Huh, M. Larson, Stellahedral geometry of matroids, Forum Math. Pi 11 (2023), Paper No. e24, 48 pp. [3] I. M. Gelfand, M. M. Kapranov, A. V. Zelevinsky, Discriminants, Resultants and Multidmensional Determinants, Mod. Birkhäuser Class, Birkhäuser Boston, Inc., Boston, MA, 2008. [4] M. Thaddeus, Complete collineations revisited. Math. Ann. 315 (1999), no.3, 469-495. |