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math.AG2011
Invariant theory of foliations of the projective plane
Eduardo Esteves, Marina Marchisio
We study the invariant theory of singular foliations of the projective plane. Our first main result is that a foliation of degree m>1 is not stable only if it has singularities in…
math.AG2007
On some explicit semi-stable degenerations of toric varieties
Marina Marchisio, Vittorio Perduca
We study semi-stable degenerations of toric varieties determined by certain partitions of their moment polytopes. Analyzing their defining equations we prove a property of uniquene…
math.AG2002
On unirationality of double covers of fixed degree and large dimension; a method of Ciliberto
Alberto Conte, Marina Marchisio, Jacob P. Murre
Following an idea of Ciliberto we show that double covers of projective r-space branched over an hypersurface of degree 2d are unirational provided r is sufficiently big with respe…