@article{f89794a4d33b4d29bb30c1d7b38fc6f7,
title = "Duality of planar and spacial curves: new insight",
abstract = "We study the geometry of equiclassical strata of the discriminant in the space of plane curves of a given degree, which are families of curves of given degree, genus and class (degree of the dual curve). Our main observation is that the use of duality transformation leads to a series of new sufficient conditions for a regular behavior of the equiclassical stratification. We also discuss duality of curves in higher-dimensional projective spaces and in Grassmannians with focus on similar questions of the regularity of equiclassical families of spacial curves.",
keywords = "Duality of curves, Equiclassical stratification, Planar curves, Spacial curves",
author = "Kulikov, {Viktor S.} and Eugenii Shustin",
note = "Publisher Copyright: {\textcopyright} 2015, Springer International Publishing AG.",
year = "2015",
month = sep,
day = "1",
doi = "10.1007/s40879-015-0052-6",
language = "אנגלית",
volume = "1",
pages = "462--482",
journal = "European Journal of Mathematics",
issn = "2199-675X",
publisher = "Springer International Publishing AG",
number = "3",
}