Corpus ID: 236772518

# A generalization of Esteves--Homma's example of tangentially degenerate curves

@inproceedings{Fukasawa2021AGO,
title={A generalization of Esteves--Homma's example of tangentially degenerate curves},
author={Satoru Fukasawa},
year={2021}
}
This paper presents a generalization of Esteves–Homma’s example of tangentially degenerate curves with a birational Gauss map, and describes novel examples of space curves of this kind.

#### References

SHOWING 1-10 OF 14 REFERENCES
On the tangentially degenerate curves
A projective curve X in ℙN is said to be tangentially degenerate if a tangent line to X at a general point P meets X again at a point other than P. In this article, we prove that if X is tangentiallyExpand
Osculating spaces and diophantine equations (with an appendix by Pietro Corvaja and Umberto Zannier)
• Mathematics
• 2007
This paper deals with some classical problems about the projective geometry of complex algebraic curves. We call \textit{locally toric} a projective curve that in a neighbourhood of every point has aExpand
Weierstrass Points and Curves Over Finite Fields
• Mathematics
• 1986
For any projective embedding of a non-singular irreducible complete algebraic curve defined over a finite field, we obtain an upper bound for the number of its rational points. The constants in theExpand
Algebraic function fields and codes
This new edition, published in the series Graduate Texts in Mathematics, has been considerably expanded and contains numerous exercises that help the reader to understand the basic material. Expand
Osculating spaces and Diophantine equations (with an Appendix by P. Corvaja and U. Zannier)
• Math. Nachr
• 2011
Order sequences and rational curves
• Projective geometry with applications
• 1994
On the geometry of space curves
• Proceedings of the 10th School of Algebra
• 1989