Abstract
We give a lower bound for the essential dimension of isogenies of complex abelian varieties. The bound is sharp in many cases. In particular, the multiplication-by-m map is incompressible for every m ≥ 2, confirming a conjecture of Brosnan.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 675-690 |
| Number of pages | 16 |
| Journal | Pure and Applied Mathematics Quarterly |
| Volume | 22 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2026 |
All Science Journal Classification (ASJC) codes
- General Mathematics
Keywords
- abelian variety
- Cremona group
- Essential dimension
- isogeny
- rationally connected variety
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