Equivalence of three notions of F_q-rational points on weighted projective spaces is established with explicit combinatorial formulas for their enumeration and a finite product formula confirming rationality of the zeta function.
Shaska,Graded quantum codes: From weighted algebraic geometry to homological chain complexes(2025), available at2508.07542
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Rational Points in Weighted Projective Spaces over Finite Fields
Equivalence of three notions of F_q-rational points on weighted projective spaces is established with explicit combinatorial formulas for their enumeration and a finite product formula confirming rationality of the zeta function.