Moduli spaces of arrangements of 10 projective lines with quadruple points |
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| Authors: | Meirav Amram Mina Teicher Fei Ye |
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| Affiliation: | 1. Emmy Noether Research Institute for Mathematics, Bar-Ilan University, Ramat Gan, 52900, Israel;2. Shamoon College of Engineering, Bialik/Basel Sts., Beer-Sheva, 84100, Israel;3. Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540, USA |
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| Abstract: | We classify moduli spaces of arrangements of 10 lines with quadruple points. We show that moduli spaces of arrangements of 10 lines with quadruple points may consist of more than 2 disconnected components, namely 3 or 4 distinct points. We also present defining equations to those arrangements whose moduli spaces are still reducible after taking quotients of complex conjugations. |
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| Keywords: | 14N20 32S22 52C35 |
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