Nef Cones of Hilbert Schemes of Orthogonal Grassmannians

@misc{jeon2026cones,
  title = {{Nef Cones of Hilbert Schemes of Orthogonal Grassmannians}},
  author = {Minyoung Jeon},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.02415},
  eprint = {2609.02415},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.02415},
}

TY  - UNPB
TI  - Nef Cones of Hilbert Schemes of Orthogonal Grassmannians
AU  - Minyoung Jeon
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.02415
UR  - https://arxiv.org/abs/2609.02415
AB  - We show the number of connected components of the Hilbert scheme of orthogonal Grassmannians under certain condition, and use this result to describe the geometry of the Hilbert scheme. Subsequently, we determine the Nef cone of the Hilbert scheme by identifying curves dual to the generators of its Neron-Severi group. Our results generalize those of ordinary Grassmannians by Seong, and our approach adapts his proof technique alongside relevant Schubert calculus.
ER  -