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Birational geometry of blowups via Weyl chamber decompositions and actions on curves
Maria Chiara Brambilla, Olivia Dumitrescu, Elisa Postinghel +1
We study the birational geometry of , the blow-up of at points in general position. We identify a set of subvarieties, which we call Weyl -p…
Conductors of Abhyankar-Moh semigroups of even degrees
Evelia R. GarcÍa Barroso, Juan Ignacio GarcÍa-GarcÍa, Luis José Santana SÁnchez +1
In their paper on the embeddings of the line in the plane, Abhyankar and Moh proved an important inequality, now known as the Abhyankar-Moh inequality, which can be stated in terms…
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…