Work

Classification of Monads and a New Moduli Component of Stable Rank 2 Bundles on $$\mathbb {P}^3$$ with Even Determinant and $$c_2=9$$

Year: 2026

Type: article

Abstract: The goal of this paper is to classify all minimal monads whose cohomology is a stable rank 2 bundle on $$\mathbb {P}^3$$ P 3 with Chern classes $$c_1=0$$ c 1 = 0 and $$c_2=9$$ c 2 = 9 , with the possible exception of two non-negative minimal monads. This extends the classification of minimal monads given by Hartshorne and Rao in (Hartshorne and Rao 1991, Section 5.3) for $$c_2\le 8$$ c 2 ≤ 8 . We also prove the existence of a new component of the moduli space $$\mathcal {B}(9)$$ B ( 9 ) , which is distinct from the Hartshorne, Ein, and modified Instanton components.

Source: Bulletin of the Brazilian Mathematical Society New Series

DOI: 10.1007/s00574-026-00528-0

Author: Aislan Leal Fontes

Institution: Universidade Federal de Sergipe

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Universidade Federal de Sergipe