Open AccessInvolutions on a Tropical Line
Author(s) -
Joaquím Roé
Publication year - 2013
Publication title -
mathematica scandinavica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.553
H-Index - 30
eISSN - 1903-1807
pISSN - 0025-5521
DOI - 10.7146/math.scand.a-15234
Subject(s) - mathematics , line (geometry) , algebraic number , projective test , projective line , pure mathematics , tropical geometry , algebra over a field , projective space , mathematical analysis , geometry
Tropical involutive linear maps and pencils of degree 2 on the tropical projective line are introduced and studied. Both concepts are related in a similar way to linear involutions and $g^1_2$'s in the classical (algebraic) projective line, and tropicalization relates the algebraic phenomena to the tropical ones.