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Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.

18 votes
3 answers
3k views

A-valued points of projective space

I have been reading "The Geometry of Schemes" by Eisenbud and Harris and have a question about Exercise III-43. There, one should show that there is a bijection between the sets $\{(n+1)\mbox{-tuples …
C S's user avatar
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1 vote

A-valued points of projective space

Thanks for your answers!! If you take $A=\mathcal{O}_K$, the invertible $A$-modules are exactly the non-zero fractional ideals of $A$, so I guess we can reformulate the exercise to be There is a bij …
C S's user avatar
  • 193