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math.AG2026
Hodge Structures in Sextic Fourfolds Equipped with an Involution
Benjamin E. Diamond
To each ternary sextic whose associated plane curve is smooth, the Shioda construction attaches a smooth sextic fourfold whose defining…
math.AG2025
On the Integral Cohomology of Fano Varieties of Linear Subspaces
Benjamin E. Diamond
For each , each dimension , and each subscheme defined as the common zero-locus of hypersurfaces, of degrees s…
math.AG2016
Smooth Surfaces in Smooth Fourfolds with Vanishing First Chern Class
Benjamin Diamond
According to a conjecture attributed to Hartshorne and Lichtenbaum and proven by Ellingsrud and Peskine, the smooth rational surfaces in belong to only finitely many…