On Smirnov's approach to the ABC conjecture
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866911757665042432 |
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| author | Jarra, Manoel |
| author_facet | Jarra, Manoel |
| contents | We use algebraic geometry over pointed monoids to give an intrinsic interpretation for the compactification of the spectrum of the ring of integers of a number field $K$, for the projective line over algebraic extensions of $\mathbb{F}_1$ and for maps between them induced by elements of $K$, as introduced by Alexander Smirnov in his approach to the ABC conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_16637 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On Smirnov's approach to the ABC conjecture Jarra, Manoel Number Theory Algebraic Geometry We use algebraic geometry over pointed monoids to give an intrinsic interpretation for the compactification of the spectrum of the ring of integers of a number field $K$, for the projective line over algebraic extensions of $\mathbb{F}_1$ and for maps between them induced by elements of $K$, as introduced by Alexander Smirnov in his approach to the ABC conjecture. |
| title | On Smirnov's approach to the ABC conjecture |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2306.16637 |