We study smooth curves on abelian surfaces, especially for genus 4, when the complementary subvariety in the Jacobian is also a surface. We show that up to translation there is exactly one genus 4 hyperelliptic curve on a general (1, 3)-polarised abelian surface. We investigate these curves and show that their Jacobians contain a surface and its dual as complementary abelian subvarieties.
|Number of pages||12|
|Journal||Proceedings of the American Mathematical Society|
|Early online date||31 Aug 2017|
|Publication status||Published - 1 Dec 2017|
- 14K05 (Primary) 14K10, 14K25 (Secondary)
FingerprintDive into the research topics of 'Hyperelliptic genus 4 curves on abelian surfaces'. Together they form a unique fingerprint.
- Department of Mathematical Sciences - Professor
Person: Research & Teaching