English

Holomorphic pre-symplectic form on the nested Hilbert scheme $\mbox{Hilb}^{3,4}(\mathbb{C}^2)$

Algebraic Geometry 2019-09-19 v1

Abstract

We regard the pre-hyperk\"ahler structure on the moduli space of framed flags of sheaves F(1,3,1)\mathcal{F}(1,3,1) on the projective plane P2\mathbb{P}^2 via an adaptation of the ADHM construction of framed sheaves. Then, we study and categorize the degenerate points of the holomorphic pre-symplectic form presented in the moduli space.

Keywords

Cite

@article{arxiv.1909.08385,
  title  = {Holomorphic pre-symplectic form on the nested Hilbert scheme $\mbox{Hilb}^{3,4}(\mathbb{C}^2)$},
  author = {Rodrigo A. von Flach and Newiton Braga Neto},
  journal= {arXiv preprint arXiv:1909.08385},
  year   = {2019}
}

Comments

10 pages. arXiv admin note: substantial text overlap with arXiv:1607.01169

R2 v1 2026-06-23T11:19:05.070Z