@article{3bd18870ae174ecd9c4a5359dc1834d5,
title = "On the number of intersection points of the contour of an amoeba with a line",
abstract = "In this note, we investigate the maximal number of intersection points of a line with the contour of a hypersurface amoeba in Rn. We define the latter number to be the R-degree of the contour. We also investigate the R-degree of related sets such as the boundary of an amoeba and the amoeba of the real part of a hypersurface defined over R. For all these objects, we provide bounds for the respective R-degrees.",
keywords = "Amoeba, Contour, R-degree, Tropical hypersurface",
author = "Lionel Lang and Boris Shapiro and Eugenii Shustin",
note = "Publisher Copyright: Indiana University Mathematics Journal {\textcopyright} (2021)",
year = "2021",
doi = "10.1512/IUMJ.2021.70.8627",
language = "אנגלית",
volume = "70",
pages = "1335--1353",
journal = "Indiana University Mathematics Journal",
issn = "0022-2518",
publisher = "Indiana University",
number = "4",
}