Nearly Toric Schubert Varieties of Type A
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866929490900287488 |
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| author | Can, Mahir Bilen Morera, Nestor Diaz |
| author_facet | Can, Mahir Bilen Morera, Nestor Diaz |
| contents | A notion of a nearly toric variety is introduced. The examples of nearly toric varieties in the context of Schubert varieties are discussed. In particular, combinatorial characterizations of the smooth and singular nearly toric Schubert varieties are found. Furthermore, the counts and generating series are determined. Additionally, a connection between Dyck paths and a certain family of nearly toric Schubert varieties is established. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_01234 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Nearly Toric Schubert Varieties of Type A Can, Mahir Bilen Morera, Nestor Diaz Algebraic Geometry Combinatorics Representation Theory A notion of a nearly toric variety is introduced. The examples of nearly toric varieties in the context of Schubert varieties are discussed. In particular, combinatorial characterizations of the smooth and singular nearly toric Schubert varieties are found. Furthermore, the counts and generating series are determined. Additionally, a connection between Dyck paths and a certain family of nearly toric Schubert varieties is established. |
| title | Nearly Toric Schubert Varieties of Type A |
| topic | Algebraic Geometry Combinatorics Representation Theory |
| url | https://arxiv.org/abs/2212.01234 |