Perfect points on curves of genus 1 and consequences for supersingular K3 surfaces. Issue 5 (22nd May 2022)
- Record Type:
- Journal Article
- Title:
- Perfect points on curves of genus 1 and consequences for supersingular K3 surfaces. Issue 5 (22nd May 2022)
- Main Title:
- Perfect points on curves of genus 1 and consequences for supersingular K3 surfaces
- Authors:
- Bragg, Daniel
Lieblich, Max - Abstract:
- Abstract : We describe a method to show that certain elliptic surfaces do not admit purely inseparable multisections (equivalently, that genus 1 curves over function fields admit no points over the perfect closure of the base field) and use it to show that any non-Jacobian elliptic structure on a very general supersingular K3 surface has no purely inseparable multisections. We also describe specific examples of genus 1 fibrations on supersingular K3 surfaces without purely inseparable multisections.
- Is Part Of:
- Compositio mathematica. Volume 158:Issue 5(2022)
- Journal:
- Compositio mathematica
- Issue:
- Volume 158:Issue 5(2022)
- Issue Display:
- Volume 158, Issue 5 (2022)
- Year:
- 2022
- Volume:
- 158
- Issue:
- 5
- Issue Sort Value:
- 2022-0158-0005-0000
- Page Start:
- 1052
- Page End:
- 1083
- Publication Date:
- 2022-05-22
- Subjects:
- supersingular K3 surface -- purely inseparable point -- Weierstrass fibration -- Frobenius -- elliptic surface
14J28 -- 14G17
Mathematics -- Periodicals
510 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=COM ↗
- DOI:
- 10.1112/S0010437X22007382 ↗
- Languages:
- English
- ISSNs:
- 0010-437X
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 3366.000000
British Library STI - ELD Digital Store - Ingest File:
- 22566.xml