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math.AG2025
Maximum number of zeroes of polynomials on weighted projective spaces over a finite field
Jade Nardi, Rodrigo San-José
We compute the maximum number of rational points at which a homogeneous polynomial can vanish on a weighted projective space over a finite field, provided that the first weight is…
math.AG2024
Codes on Weighted Projective Planes
Yağmur Çakıroğlu, Jade Nardi, Mesut Şahin
We comprehensively study weighted projective Reed-Muller (WPRM) codes on weighted projective planes . We provide the universal Gröbner basis for the vanishing id…