3 papers
math.AG2025
Moduli of elliptic surfaces of Kodaira dimension one fibered over rational curves
Dori Bejleri, Josiah Foster, Andres Fernandez Herrero +3
In this article, we construct an infinite sequence of irreducible components of Kollár--Shepherd-Barron (KSB-) moduli spaces of surfaces of arbitrarily large volumes, and describe…
math.AG2025
The Lefschetz standard conjectures for 4d-dimensional Kummer-type hyper-Kaehler varieties
Josiah Foster
Contingent upon a conjecture of Buchweitz and Flenner, we prove the Lefschetz standard conjectures for 4d-dimensional projective varieties of generalized Kummer deformation type.
math.AG2024
The Lefschetz standard conjectures for IHSMs of generalized Kummer deformation type in certain degrees
Josiah Foster
For a projective -dimensional irreducible holomorphic symplectic manifold of generalized Kummer deformation type and the smallest prime number dividing , we prove…