The maximal number of skew lines on Schur’s quartic
Rojas, Jacqueline1 ; Lira, Dayane1
1 Universidade Federal da Paraíba (UFPB), João Pessoa, Brazil
Rendiconti del Seminario Matematico della Università di Padova, Tome 142 (2019), pp. 81-91.
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Since 1882 it is known that the so-called Schur’s quartic contains exactly 64 lines.However, it has not yet been establishedwhat is themaximumnumber of pairwise disjoint lines that it can have. The aim of our work is to show in an elementary and self-contained way that the maximum number of pairwise disjoint lines in Schur’s quartic is 16 (without using Nikulins’s theorem or Miyaoka’s upper bound).

Publié le :
DOI : 10.4171/RSMUP/31
Classification : 14, 00
Mots clés : Schur’s quartic, skew lines
Rojas, Jacqueline 1 ; Lira, Dayane 1

1 Universidade Federal da Paraíba (UFPB), João Pessoa, Brazil 
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     title = {The maximal number of skew lines on {Schur{\textquoteright}s} quartic},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {81--91},
     publisher = {European Mathematical Society Publishing House},
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Rojas, Jacqueline; Lira, Dayane. The maximal number of skew lines on Schur’s quartic. Rendiconti del Seminario Matematico della Università di Padova, Tome 142 (2019), pp. 81-91. doi : 10.4171/RSMUP/31. http://www.numdam.org/articles/10.4171/RSMUP/31/

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