9 citations · 17 across the 12 of their papers we have counts for
Showing 1998 · math.AGShow all
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math.AG1998
The Douady space of a complex surface
Mark Andrea A. de Cataldo, Luca Migliorini
We prove that a standard realization of the direct image complex via the so-called Douady-Barlet morphism associated with a smooth complex analytic surface admits a natural decompo…
math.AG1998
Vanishing via lifting to second Witt vectors and a proof of an isotriviality result
Mark Andrea A. de Cataldo
A proof based on reduction to finite fields of Esnault-Viehweg's stronger version of Sommese Vanishing Theorem for -ample line bundles is given. This result is used to give diff…
math.AG1998
Hilbert schemes of a surface and Euler characteristics
Mark Andrea A. de Cataldo
We use basic algebraic topology and Ellingsrud-Stromme results on the Betti numbers of punctual Hilbert schemes of surfaces to compute a generating function for the Euler character…