The study of curve arrangements in the framework of algebraic geometry examines configurations of algebraic curves—ranging from lines to higher degree entities—in projective spaces, where intricate ...

Proceedings of the National Academy of Sciences of the United States of America, Vol. 72, No. 9 (1975), pp. 3281-3284 (4 pages) Associated with some systems of unramified coverings of algebraic curves ...

A hyperbolic algebraic curve is a bounded subset of an algebraic set. We study the function theory and functional analytic aspects of these sets. We show that their function theory can be described by ...

Both algebraic and arithmetic geometry are concerned with the study of solution sets of systems of polynomial equations. Algebraic geometry deals primarily with solutions lying in an algebraically ...