# Bifurcations of affine invariants for one-parameter family of generic convex plane curves

Banach Center Publications (1999)

- Volume: 50, Issue: 1, page 227-236
- ISSN: 0137-6934

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topSano, Takashi. "Bifurcations of affine invariants for one-parameter family of generic convex plane curves." Banach Center Publications 50.1 (1999): 227-236. <http://eudml.org/doc/209011>.

@article{Sano1999,

abstract = {We study affine invariants of plane curves from the view point of the singularity theory of smooth functions. We describe how affine vertices and affine inflexions are created and destroyed.},

author = {Sano, Takashi},

journal = {Banach Center Publications},

keywords = {plane curves; affine distance function; affine height function; bifurcation},

language = {eng},

number = {1},

pages = {227-236},

title = {Bifurcations of affine invariants for one-parameter family of generic convex plane curves},

url = {http://eudml.org/doc/209011},

volume = {50},

year = {1999},

}

TY - JOUR

AU - Sano, Takashi

TI - Bifurcations of affine invariants for one-parameter family of generic convex plane curves

JO - Banach Center Publications

PY - 1999

VL - 50

IS - 1

SP - 227

EP - 236

AB - We study affine invariants of plane curves from the view point of the singularity theory of smooth functions. We describe how affine vertices and affine inflexions are created and destroyed.

LA - eng

KW - plane curves; affine distance function; affine height function; bifurcation

UR - http://eudml.org/doc/209011

ER -

## References

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- [7] C. G. Gibson, Singular Points of Smooth Mappings, Pitman Research Notes in Mathematics 25, Pitman Publ., London, 1979. Zbl0426.58001
- [8] S. Izumiya and T. Sano, Generic affine differential geometry of plane curves, Proc. Edinburgh Math. Soc. (2) 41 (1998), 315-324. Zbl0965.53013
- [9] K. Nomizu and T. Sasaki, Affine Differential Geometry. Geometry of Affine Immersions, Cambridge Tracts in Math. 111, Cambridge Univ. Press, Cambridge, 1994. Zbl0834.53002

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