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

1 vote
0 answers
107 views

Why do subspaces of the space of Global holomorphic differentials of a function field corres...

I'm asking this question as a follow up to the Felipe Voloch's answer to this question: Subfields of a function field which you can read it here: Subfields of a function field (I just didn't have …
Syed's user avatar
  • 601
0 votes
0 answers
263 views

Computing the function field of a curve given as a subvariety of the Jacobian of its cover o...

I read following paragraph from: G. Tamme, Teilkörper höheren Geschlechts eines algebraischen Funktionenkörpers, Arch. Math. 23 (1972), 257--259 Here $C$ is a curve of genus $\ge 2$ and $J$ is the …
Syed's user avatar
  • 601
1 vote
0 answers
204 views

Which rational subfields are corresponding to the two dimensional subspaces of holomorphic d...

I implemented the algorithm that Felipe Voloch's suggested in his reply to the question: Subfields of a function field the algorithm is here: Subfields of a function field I considered the functio …
Syed's user avatar
  • 601