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13 votes
5 answers
5k views

Examples and intuition for arithmetic schemes

How should a beginner learn about arithmetic schemes (interpret this as you wish, or as a regular scheme, proper and flat over Spec(Z))? What are the most important examples of such schemes? Good ...
5 votes
1 answer
758 views

Existence of proper regular models for varieties over Q and other global fields

What is known about regular proper models for smooth projective varieties over Q? Results for other global fields would also be interesting, as well as general comments and suggested references for ...
Andreas Holmstrom's user avatar
20 votes
2 answers
4k views

"Fermat's last theorem" and anabelian geometry?

Do I remember a remark in "Sketch of a program" or "Letter to Faltings" correctly, that acc. to Grothendieck anabelian geometry should not only enable finiteness proofs, but a proof of FLT too? If yes,...
Thomas Riepe's user avatar
  • 10.8k
43 votes
1 answer
19k views

What is inter-universal geometry?

I wonder what Mochizuki's inter-universal geometry and his generalisation of anabelian geometry is, e.g. why the ABC-conjecture involves nested inclusions of sets as hinted in the slides, or why such ...
Thomas Riepe's user avatar
  • 10.8k

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