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math.AG2021
Degenerations, fibrations and higher rank Landau-Ginzburg models
Charles F. Doran, Jordan Kostiuk, Fenglong You
We study semi-stable degenerations of quasi-Fano varieties to unions of two pieces. We conjecture that the higher rank Landau-Ginzburg models mirror to these two pieces can be glue…
math.AG2019
Geometric Variations of Local Systems and Elliptic Surfaces
Charles Doran, Jordan Kostiuk
Geometric variations of local systems are families of variations of Hodge structure; they typically correspond to fibrations of Kähler manifolds for which each fibre itself is fibr…
math.AG2019★ 2 cited
The Doran-Harder-Thompson conjecture for toric complete intersections
Charles F. Doran, Jordan Kostiuk, Fenglong You
Given a Tyurin degeneration of a Calabi-Yau complete intersection in a toric variety, we prove gluing formulas relating the generalized functional invariants, periods, and -func…