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math.AG2022
Effective cone of the blow up of the symmetric product of a curve
Antonio Laface, Luca Ugaglia
Let be a smooth curve of genus and let be its second symmetric product. In this note we prove that if is very general, then the blow-up of at…
math.AG2022★ 1 cited
Finite generation of Cox rings
José Luis González, Antonio Laface
In this expository note we discuss a class of graded algebras named Cox rings, which are naturally associated to algebraic varieties generalizing the homogeneous coordinate rings o…
math.AG2022
On linear systems with multiple points on a rational normal curve
Antonio Laface, Elisa Postinghel, Luis José Santana Sánchez
We give a closed formula for the dimension of all linear systems in with assigned multiplicity at arbitrary collections of points lying on a rational normal curve of…