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math.AG2011
On the canonical ring of curves and surfaces
Marco Franciosi
Let C be a curve (possibly non reduced or reducible) lying on a smooth algebraic surface. We show that the canonical ring R(C, ω_C) is generated in degree 1 if C is numerically 4-c…
math.AG2008★ 1 cited
On varieties whose universal cover is a product of curves
Fabrizio Catanese, Marco Franciosi
We investigate a necessary condition for a compact complex manifold X of dimension n in order that its universal cover be the Cartesian product of a curve $C = \PP^1 or \HH$:…
math.AG2008
A characterization of surfaces whose universal cover is the bidisk
Fabrizio Catanese, Marco Franciosi
We show that the universal cover of a compact complex surface is the bidisk $\HH \times \HH$, or is biholomorphic to $\PP^1 \times \PP^1$, if and only if and th…