Generalized Eckardt Points on Del Pezzo Surfaces of Degree 1
Abstract
Abstract We study intersections of exceptional curves on del Pezzo surfaces of degree 1, motivated by questions in arithmetic geometry. Outside characteristics 2 and 3, at most 10 exceptional curves can intersect in a point. We classify the different ways in which 10 exceptional curves can intersect, construct a new family of surfaces with 10 exceptional curves intersecting in a point, and discuss strategies for finding more such examples.
Fields of Study & Subjects
Commutative Algebra and Its Applications
Algebraic Geometry and Number Theory
Polynomial and algebraic computation
Publication details
- Journal / source
- Association for Women in Mathematics series
- Pages
- 79–106
- Publication date
- 1 January 2026
- Language
- EN