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math.DG2019
Kodaira dimension of almost Kähler manifolds and curvature of the canonical connection
Andrea Cattaneo, Antonella Nannicini, Adriano Tomassini
The notion of Kodaira dimension has recently been extended to general almost complex manifolds. In this paper we focus on the Kodaira dimension of almost Kähler manifolds, providin…
math.AG2019
On a Lefschetz-type phenomenon for elliptic Calabi--Yaus
Andrea Cattaneo, James Fullwood
We consider 18 families of elliptic Calabi--Yaus which arise in constructing -theory compactifications of string vacua, and show in each case that the upper Hodge diamond of a c…