Olivia Beckwith
Harvey Mudd College Mathematics 2013
| Thesis Proposal: | On Toric Symmetry |
|---|---|
| Thesis Advisor: | Prof. Dagan Karp |
| Second Reader: | Dusty Ross |
| E-Mail: | obeckwith@gmail.com |
On Toric Symmetry of P2 x P1.
Toric varieties are a class of geometric objects with a combinatorial structure encoded in polytopes. $\yay$ is a well known variety and its polytope is the triangular prism. Studying the symmetries of the triangular prism and its truncations can lead to symmetries of the variety. Many of these symmetries permute the elements of the cohomology ring nontrivially and induce nontrivial relations.