Bertini and Northcott
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
We prove a new Bertini-type Theorem with explicit control of the genus, degree, height, and the field of definition of the constructed curve. As a consequence we provide a general strategy to reduce certain height and rank estimates on abelian varieties over a number field K to the case of jacobian varieties defined over a suitable extension of K.
Originalsprog | Engelsk |
---|---|
Artikelnummer | 12 |
Tidsskrift | Research in Number Theory |
Vol/bind | 7 |
Udgave nummer | 1 |
Sider (fra-til) | 1-18 |
ISSN | 2522-0160 |
DOI | |
Status | Udgivet - 2021 |
Links
- https://arxiv.org/pdf/2006.13604.pdf
Indsendt manuskript
ID: 305700939