5 citations · 13 across the 5 of their papers we have counts for
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Effective construction of irreducible curve singularities
Abdallah Assi, Margherita Barile
We can associate with any irreducible curve singularity (ics) a numerical semigroup. Two ics are said to be equisingular if they have the same semigroup. Two equisingular ics have…
On toric varieties which are almost set-theoretic complete intersections
Margherita Barile
We describe a class of affine toric varieties that are set-theoretically minimally defined by codim binomial equations over fields of any characteristic.
A note on Veronese varieties
Margherita Barile
We show that for every prime , there is a class of Veronese varieties which are set-theoretic complete intersections if and only if the ground field has characteristic .
Almost set-theoretic complete intersections in characteristic zero
Margherita Barile
We present a class of toric varieties which, over any algebraically closed field of characteristic zero, are defined by codim +1 binomial equations.
On toric varieties of high arithmetical rank
Margherita Barile
We describe a class of toric varieties in the -dimensional affine space which are minimally defined by no less than binomial equations.