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Others: Moduli spaces of ten-line arrangements with double and triple points
Title | Moduli spaces of ten-line arrangements with double and triple points |
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Authors | |
Issue Date | 2013 |
Citation | Amram, M, Cohen, M, Teicher, M, et al. (2013). Moduli spaces of ten-line arrangements with double and triple points. arXiv How to Cite? |
Abstract | Two arrangements with the same combinatorial intersection lattice but whose complements have different fundamental groups are called a Zariski pair. This work finds that there are at most nine such pairs amongst all ten line arrangements whose intersection points are doubles or triples. This result is obtained by considering the moduli space of a given configuration table which describes the intersection lattice. A complete combinatorial classification is given of all arrangements of this type under a suitable assumption, producing a list of seventy-one described in a table, most of which do not explicitly appear in the literature. This list also includes other important counterexamples: nine combinatorial arrangements that are not geometrically realizable. |
Persistent Identifier | http://hdl.handle.net/10722/257972 |
DC Field | Value | Language |
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dc.contributor.author | Amram, M | - |
dc.contributor.author | Cohen, M | - |
dc.contributor.author | Teicher, M | - |
dc.contributor.author | Ye, F | - |
dc.date.accessioned | 2018-08-21T03:56:08Z | - |
dc.date.available | 2018-08-21T03:56:08Z | - |
dc.date.issued | 2013 | - |
dc.identifier.citation | Amram, M, Cohen, M, Teicher, M, et al. (2013). Moduli spaces of ten-line arrangements with double and triple points. arXiv | - |
dc.identifier.uri | http://hdl.handle.net/10722/257972 | - |
dc.description.abstract | Two arrangements with the same combinatorial intersection lattice but whose complements have different fundamental groups are called a Zariski pair. This work finds that there are at most nine such pairs amongst all ten line arrangements whose intersection points are doubles or triples. This result is obtained by considering the moduli space of a given configuration table which describes the intersection lattice. A complete combinatorial classification is given of all arrangements of this type under a suitable assumption, producing a list of seventy-one described in a table, most of which do not explicitly appear in the literature. This list also includes other important counterexamples: nine combinatorial arrangements that are not geometrically realizable. | - |
dc.language | eng | - |
dc.title | Moduli spaces of ten-line arrangements with double and triple points | - |
dc.type | Others | - |
dc.identifier.email | Ye, F: fyemath@hku.hk | - |
dc.description.nature | published_or_final_version | - |
dc.identifier.hkuros | 216775 | - |