Moduli spaces of arrangements of 10 projective lines with quadruple points

Meirav Amram, Mina Teicher, Fei Ye

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

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 languageEnglish
Pages (from-to)392-418
Number of pages27
JournalAdvances in Applied Mathematics
Volume51
Issue number3
DOIs
StatePublished - 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.

FundersFunder number
Oswald Veblen Fund

    Keywords

    • Irreducibility
    • Line arrangements
    • Moduli spaces

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