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Weierstrass Points and Simple Geodesics
Author(s) -
McShane Greg
Publication year - 2004
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609303002686
Subject(s) - mathematics , geodesic , infinitesimal , simple (philosophy) , tangent , pure mathematics , tangent vector , involution (esoterism) , mathematical analysis , algebra over a field , geometry , philosophy , epistemology , politics , political science , law
The set of vectors tangent to complete simple geodesics at a Weierstrass point is investigated, and interpreted as an infinitesimal version of the Birman–Series set. Three new identities for the lengths of simple geodesics are deduced. Fundamental use is made of the properties of the elliptic involution. 2000 Mathematics Subject Classification 57M50.