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.
Original language | English |
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Pages (from-to) | 392-418 |
Number of pages | 27 |
Journal | Advances in Applied Mathematics |
Volume | 51 |
Issue number | 3 |
DOIs | |
State | Published - Aug 2013 |
Bibliographical note
Funding Information:This work was partially supported by the Oswald Veblen Fund and by the Minerva Foundation of Germany . The authors thank M. Falk and the referee for their comments and suggestions that helped improve the clarity of the paper.
Funding
This work was partially supported by the Oswald Veblen Fund and by the Minerva Foundation of Germany . The authors thank M. Falk and the referee for their comments and suggestions that helped improve the clarity of the paper.
Funders | Funder number |
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Oswald Veblen Fund |
Keywords
- Irreducibility
- Line arrangements
- Moduli spaces