|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Severi varieties on
ruled surfaces over elliptic curves
Xiaotian Chang, Xi Chen and Adrian Zahariuc |
|
Vol. 343 (2026), No. 2, 343–369
|
 |
Abstract |
|
We prove that the general members of Severi varieties on an Atiyah ruled surface over a general elliptic curve have nodes and ordinary triple points as singularities. |
Keywords
Severi variety, deformation theory
|
Mathematical Subject Classification
Primary: 14C25, 14C30, 14H10, 14H52
|
Milestones
Received: 31 December 2024
Revised: 16 February 2026
Accepted: 13 April 2026
Published: 22 May 2026
|
Authors |
| Xiaotian Chang | |
| Division of Mathematical
Sciences Nanyang Technological University Singapore |
|
| Xi Chen | |
| Department of Mathematical and
Statistical Sciences University of Alberta Edmonton, AB Canada |
|
| Adrian Zahariuc | |
| Department of Mathematics and
Statistics University of Windsor Windsor, ON Canada |
|
| © 2026 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
Open Access made possible by participating institutions via Subscribe to Open.
