Birational transformations on irreducible compact Hermitian symmetric spaces
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866910368689815552 |
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| author | Ding, Cong |
| author_facet | Ding, Cong |
| contents | We construct a sequence of explicit blow-ups and blow-downs on irreducible compact Hermitian symmetric spaces $X$ which transforms it into a projective space of the same dimension. Moreover this resolves a birational map given by Landsberg and Manivel. Centers of the blow-ups for $X$ are constructed by loci of chains of minimal rational curves and centers of the blow-ups for the projective space are constructed from the variety of minimal rational tangents of $X$ and its higher secant varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_03510 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Birational transformations on irreducible compact Hermitian symmetric spaces Ding, Cong Algebraic Geometry 14M17 14M20 32M10 We construct a sequence of explicit blow-ups and blow-downs on irreducible compact Hermitian symmetric spaces $X$ which transforms it into a projective space of the same dimension. Moreover this resolves a birational map given by Landsberg and Manivel. Centers of the blow-ups for $X$ are constructed by loci of chains of minimal rational curves and centers of the blow-ups for the projective space are constructed from the variety of minimal rational tangents of $X$ and its higher secant varieties. |
| title | Birational transformations on irreducible compact Hermitian symmetric spaces |
| topic | Algebraic Geometry 14M17 14M20 32M10 |
| url | https://arxiv.org/abs/2212.03510 |