Picard Group - Examples

Examples

  • The Picard group of the spectrum of a Dedekind domain is its ideal class group.
  • The invertible sheaves on projective space Pn(k) for k a field, are the twisting sheaves so the Picard group of Pn(k) is isomorphic to Z.
  • The Picard group of the affine line with two origins over k is isomorphic to Z.

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