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Results tagged with arithmetic-geometry
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user 100660
Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.
6
votes
1
answer
262
views
Does exist a "product formula" for arithmetic surfaces?
Let $K$ be a number field, then the Arakelov geometry of $\operatorname{Spec }O_K$ can be interpreted by means of the adelic ring $\mathbb A_K$. In particular, a key ingredient is the product formula …
- 529
27
votes
1
answer
1k
views
Analogies between classical geometry on complex surfaces and Arakelov geometry
This is my first question on this wonderful site. The following question about Arakelov geometry is gonna be quite long and wide; to be clear one of that kind of questions that are usually ignored. Th …
- 529