Moduli spaces of arrangements of 10 projective lines with quadruple points

Moduli spaces of arrangements of 10 projective lines with quadruple points

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...

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Veröffentlicht in:Advances in applied mathematics 2013-08, Vol.51 (3), p.392-418
Hauptverfasser: Amram, Meirav, Teicher, Mina, Ye, Fei
Format: Artikel
Sprache:eng
Schlagworte:
Classification
Conjugation
Disengaging
Irreducibility
Line arrangements
Mathematical analysis
Moduli spaces
Positioning
Quotients
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Zusammenfassung: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.
ISSN:0196-8858
1090-2074
DOI:10.1016/j.aam.2013.05.002