3 papers
math.AG2026
A mirror theorem for partial flag bundles
Ionut Ciocan-Fontanine, Yuki Koto
We construct a family of points on the Lagrangian cone of a partial flag bundle associated to a (possibly non-split) vector bundle from any Weyl-invariant -function of a prequot…
math.AG2025
Normal stable degenerations of Noether-Horikawa surfaces
Hiroto Akaike, Makoto Enokizono, Masafumi Hattori +1
We classify all normal stable Horikawa surfaces with only -Gorenstein smoothable log canonical singularities. Furthermore, we provide a criterion for their global $\mat…
math.AG2022
Convergence and Analytic Decomposition of Quantum Cohomology of Toric Bundles
Yuki Koto
We prove that the equivariant big quantum cohomology QH^*_T(E) of the total space of a toric bundle E \to B converges provided that the big quantum cohomology QH^*(B) converges. Th…