A log resolution for the theta divisor of a hyperelliptic curve
- Resource Type
- Working Paper
- Authors
- Schnell, Christian; Yang, Ruijie
- Source
- Subject
- Mathematics - Algebraic Geometry
- Language
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.
Comment: 42 pages, comments are welcome. v2: a new section about open problems is added; v3: some typos are corrected; v4: We add an appendix with the proof of the reducedness of Brill-Noether varieties of hyperelliptic curves; v5: section 5 and 6 rewritten to improve the exposition