Bertini and Northcott
Research output: Contribution to journal › Journal article › Research › peer-review
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.
Original language | English |
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Article number | 12 |
Journal | Research in Number Theory |
Volume | 7 |
Issue number | 1 |
Pages (from-to) | 1-18 |
ISSN | 2522-0160 |
DOIs | |
Publication status | Published - 2021 |
Links
- https://arxiv.org/pdf/2006.13604.pdf
Submitted manuscript
ID: 305700939