Felix Klein's paper on real flexes vindicated
Banach Center Publications (1998)
- Volume: 44, Issue: 1, page 195-210
- ISSN: 0137-6934
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topRonga, Felice. "Felix Klein's paper on real flexes vindicated." Banach Center Publications 44.1 (1998): 195-210. <http://eudml.org/doc/208883>.
@article{Ronga1998,
abstract = {In a paper written in 1876 [4], Felix Klein gave a formula relating the number of real flexes of a generic real plane projective curve to the number of real bitangents at non-real points and the degree, which shows in particular that the number of real flexes cannot exceed one third of the total number of flexes. We show that Klein's arguments can be made rigorous using a little of the theory of singularities of maps, justifying in particular his resort to explicit examples.},
author = {Ronga, Felice},
journal = {Banach Center Publications},
keywords = {enumerative problems; JFM 08.0439.01; number of real flexes; real plane projective curve},
language = {eng},
number = {1},
pages = {195-210},
title = {Felix Klein's paper on real flexes vindicated},
url = {http://eudml.org/doc/208883},
volume = {44},
year = {1998},
}
TY - JOUR
AU - Ronga, Felice
TI - Felix Klein's paper on real flexes vindicated
JO - Banach Center Publications
PY - 1998
VL - 44
IS - 1
SP - 195
EP - 210
AB - In a paper written in 1876 [4], Felix Klein gave a formula relating the number of real flexes of a generic real plane projective curve to the number of real bitangents at non-real points and the degree, which shows in particular that the number of real flexes cannot exceed one third of the total number of flexes. We show that Klein's arguments can be made rigorous using a little of the theory of singularities of maps, justifying in particular his resort to explicit examples.
LA - eng
KW - enumerative problems; JFM 08.0439.01; number of real flexes; real plane projective curve
UR - http://eudml.org/doc/208883
ER -
References
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