PreprintCC BY 4.0arXiv
Realizability of Cohomology Classes in Orthogonal Grassmannians
Abstract
Building on the work of Coskun and Ross, we investigate which cohomology classes of the orthogonal Grassmannian OG(k,n) can be realized as irreducible subvarieties of OG(k,n). We give a criterion for when the realizable classes in the orthogonal Grassmannian agree with those in the Grassmannian. We give a characterization for realizability in low dimension and codimension and give necessary conditions for realizability in certain orthogonal Grassmannians.
Related
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BibTeX
@misc{nader2026realizability,
title = {{Realizability of Cohomology Classes in Orthogonal Grassmannians}},
author = {Naima Nader},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.36078},
eprint = {2609.36078},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.36078},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Realizability of Cohomology Classes in Orthogonal Grassmannians
AU - Naima Nader
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2609.36078
UR - https://arxiv.org/abs/2609.36078
AB - Building on the work of Coskun and Ross, we investigate which cohomology classes of the orthogonal Grassmannian OG(k,n) can be realized as irreducible subvarieties of OG(k,n). We give a criterion for when the realizable classes in the orthogonal Grassmannian agree with those in the Grassmannian. We give a characterization for realizability in low dimension and codimension and give necessary conditions for realizability in certain orthogonal Grassmannians.
ER -