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math.AG2022
Certified Severi dimensions for hyperelliptic and supersymmetric cusps
Ethan Cotterill, Vinícius Lima, Renato Vidal Martins +1
In a previous paper, the first three authors formulated a precise conjecture about the dimension of the {\it generalized Severi variety} of degree-…
math.AG2022
On Gonality and Canonical Models of Unicuspidal Rational Curves
Naamã Galdino, Renato Vidal Martins, Danielle Nicolau
We study the gonality and canonical model of a rational unicuspidal curve C. We are mainly interested in the case where C is non-Gorenstein. We classify such curves via different n…
math.AG2022
Max Noether Theorem for Singular Curves
Edson Martins Gagliardi, Renato Vidal Martins
Max Noether's Theorem asserts that if is the dualizing sheaf of a nonsingular nonhyperelliptic projective curve, then the natural morphisms are…