Curve neighborhoods and combinatorial property $\mathcal{O}$ for a family of odd symplectic partial flag manifolds
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866913704680882176 |
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| author | Bean, Connor Cruikshank, Bradley Shifler, Ryan M. |
| author_facet | Bean, Connor Cruikshank, Bradley Shifler, Ryan M. |
| contents | Let $E$ be an odd dimensional complex vector space and $\mbox{IF}:=\mbox{IF}(1,2;E)$ be the family of odd symplectic partial flag manifold. In this paper we give a full description of the irreducible components of the degree $d$ curve neighborhood of any Schubert variety of $\mbox{IF}$, study their lattice structure, and prove a combinatorial version of Conjecture $\mathcal{O}.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_16742 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Curve neighborhoods and combinatorial property $\mathcal{O}$ for a family of odd symplectic partial flag manifolds Bean, Connor Cruikshank, Bradley Shifler, Ryan M. Algebraic Geometry Let $E$ be an odd dimensional complex vector space and $\mbox{IF}:=\mbox{IF}(1,2;E)$ be the family of odd symplectic partial flag manifold. In this paper we give a full description of the irreducible components of the degree $d$ curve neighborhood of any Schubert variety of $\mbox{IF}$, study their lattice structure, and prove a combinatorial version of Conjecture $\mathcal{O}.$ |
| title | Curve neighborhoods and combinatorial property $\mathcal{O}$ for a family of odd symplectic partial flag manifolds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2502.16742 |