Kappa classes on KSBA spaces
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866910911227232256 |
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| author | Alexeev, Valery |
| author_facet | Alexeev, Valery |
| contents | We define kappa classes on moduli spaces of KSBA stable varieties and pairs, generalizing the Miller-Morita-Mumford classes on moduli of curves, and compute them in some cases where the virtual fundamental class is known to exist, including Burniat and Campedelli surfaces. For Campedelli surfaces, an intermediate step is finding the Chow (same as cohomology) ring of the GIT quotient $(\mathbb P^2)^7//SL(3)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_14842 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Kappa classes on KSBA spaces Alexeev, Valery Algebraic Geometry Differential Geometry 14D23, 14C17, 14L24, 14F43 We define kappa classes on moduli spaces of KSBA stable varieties and pairs, generalizing the Miller-Morita-Mumford classes on moduli of curves, and compute them in some cases where the virtual fundamental class is known to exist, including Burniat and Campedelli surfaces. For Campedelli surfaces, an intermediate step is finding the Chow (same as cohomology) ring of the GIT quotient $(\mathbb P^2)^7//SL(3)$. |
| title | Kappa classes on KSBA spaces |
| topic | Algebraic Geometry Differential Geometry 14D23, 14C17, 14L24, 14F43 |
| url | https://arxiv.org/abs/2309.14842 |