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math.AG2021
Curves on Frobenius classical surfaces in over finite fields
Elena Berardini, Jade Nardi
In this paper we give an upper bound on the number of rational points on an irreducible curve of degree defined over a finite field lying on a Frobenius clas…
math.AG2020
Projective toric codes
Jade Nardi
Any integral convex polytope in provides a -dimensional toric variety and an ample divisor on this variety. This paper gives an explicit construct…
math.AG2019
Anticanonical codes from del Pezzo surfaces with Picard rank one
Régis Blache, Alain Couvreur, Emmanuel Hallouin +4
We construct algebraic geometric codes from del Pezzo surfaces and focus on the ones having Picard rank one and the codes associated to the anticanonical class. We give explicit co…