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For questions related to divisors in the sense of algebraic geometry (Cartier divisors, Weil divisors and so on). For question on divisors in the number theoretic sense please use the tag divisors-multiples.

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On generators of the Picard group of a projective smooth surface over a finite field

Can they be chosen to be very ample divisors, or from some very ample linear systems? Thank you very much in advance! …
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