Graduation Year
Spring 2013
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Dagan Karp
Reader 2
Dusty Ross
Terms of Use & License Information
Rights Information
© 2013 Olivia Beckwith
Abstract
Toric varieties are a class of geometric objects with a combinatorial structure encoded in polytopes. P1 x P2 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. We discuss some toric symmetries of P1 x P2, and describe the geometry of the polytope of the corresponding blowups, and analyze the induced action on the cohomology ring. We exhaustively compute the toric symmetries of P1 x P2.
Recommended Citation
Beckwith, Olivia D., "On Toric Symmetry of P1 x P2" (2013). HMC Senior Theses. 46.
https://scholarship.claremont.edu/hmc_theses/46
