Abstract
In this paper, we prove that the theta divisor of a smooth hyperelliptic curve has a natural and explicit embedded resolution of singularities using iterated blowups of Brill–Noether subvarieties. We also show that the Brill–Noether stratification of the hyperelliptic Jacobian is a Whitney stratification.
| Original language | English |
|---|---|
| Pages (from-to) | 462-503 |
| Number of pages | 42 |
| Journal | Algebraic Geometry |
| Volume | 13 |
| Issue number | 4 |
| DOIs | |
| State | Published - Jul 2026 |
Keywords
- Brill–Noether variety
- Whitney stratification
- hyperelliptic curve
- resolution of singularities
- theta divisor
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