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Rational Points in Weighted Projective Spaces over Finite Fields

math.AG · 2025-11-16 · unverdicted · novelty 5.0

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.

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  • Rational Points in Weighted Projective Spaces over Finite Fields math.AG · 2025-11-16 · unverdicted · none · ref 7

    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.