Extremal divisors in the Hilbert scheme of points on $$\mathbb {P}^{2}$$ are preserved under residuality
Abstract
Abstract Let $$n=\frac{r(r+1)}{2}$$ n = r ( r + 1 ) 2 or $$n=2r(r+1)$$ n = 2 r ( r + 1 ) . We prove that the property of being extremal is preserved under residuality for divisors in the Hilbert scheme of n points in the plane.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Analytic Number Theory Research
Commutative Algebra and Its Applications
Publication details
- Journal / source
- Boletín de la Sociedad Matemática Mexicana
- Volume
- 32
- Issue
- 2
- Publication date
- 1 June 2026
- Language
- EN