Chilean configuration of conics, lines and points

نویسندگان

چکیده

Using the theory of rational elliptic fibrations, we construct and discuss a one parameter family configurations $12$ conics $9$ points in projective plane that realizes an abstract configuration $(12_6,9_8)$. This is analogous to famous Hesse lines forming $(12_3,9_4)$. We also show any Halphen fibration index $2$ with four triangular singular fibers arises from such conics.

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ژورنال

عنوان ژورنال: Annali della Scuola normale superiore di Pisa. Classe di scienze

سال: 2022

ISSN: ['0391-173X', '2036-2145']

DOI: https://doi.org/10.2422/2036-2145.202011_005