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4 papers · 1 filter
On binomial equations defining rational normal scrolls
Margherita Barile
We show that a rational normal scroll can in general be set-theoretically defined by a proper subset of the 2-minors of the associated two-row matrix. This allows us to find a clas…
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 .