calabi-yau varieties 1cox rings 1geometric invariant theory 1graded algebras 1morrison-kawamata dream spaces 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AG2026
Computing Cox rings via the cone conjecture
Tomoki Oda, José Ignacio Yáñez, Juan Pablo Zúñiga
The paper develops methods to compute Cox rings of Calabi‑Yau varieties by using Morrison‑Kawamata dream spaces, establishing a link between small Q‑factorial modifications and GIT…
math.AG2026
Bianchi groups and automorphisms of rank-four surfaces
Kenji Hashimoto, Tomoki Oda
We relate the arithmetic of Bianchi groups to automorphism groups of Picard-rank-four surfaces. Let be an imaginary quadratic field with ring of integers , a…
math.AG2026
Geometry of tropical mutation surfaces with a single mutation
Tomoki Oda
Escobar, Harada, and Manon introduced polyptych lattices as a piecewise-linear extension of the lattice-polytope formalism of toric geometry. In this paper we study the first genui…