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| Main Author: | |
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| Format: | Preprint |
| Published: |
2017
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1707.08676 |
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| _version_ | 1866913244796420096 |
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| author | Blankers, Vance |
| author_facet | Blankers, Vance |
| contents | We show that the class of the locus of hyperelliptic curves with $\ell$ marked Weierstrass points, $m$ marked conjugate pairs of points, and $n$ free marked points is rigid and extremal in the cone of effective codimension-($\ell + m$) classes on $\overline{\mathcal{M}}_{2,\ell+2m+n}$. This generalizes work of Chen and Tarasca and establishes an infinite family of rigid and extremal classes in arbitrarily-high codimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1707_08676 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Hyperelliptic classes are rigid and extremal in genus two Blankers, Vance Algebraic Geometry We show that the class of the locus of hyperelliptic curves with $\ell$ marked Weierstrass points, $m$ marked conjugate pairs of points, and $n$ free marked points is rigid and extremal in the cone of effective codimension-($\ell + m$) classes on $\overline{\mathcal{M}}_{2,\ell+2m+n}$. This generalizes work of Chen and Tarasca and establishes an infinite family of rigid and extremal classes in arbitrarily-high codimension. |
| title | Hyperelliptic classes are rigid and extremal in genus two |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/1707.08676 |