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Maximum number of zeroes of polynomials on weighted projective spaces over a finite field

Jade Nardi et al.
HAL (France) · Papers
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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 equal to one. This solves a conjecture by Aubry, Castryck, Ghorpade, Lachaud, O'Sullivan and Ram, which stated that a Se
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