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 ...

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 ...

IN discussing algebraic curves and surfaces we have the choice of several distinct methods. Some authors rely upon Cremona transformations, by which the curve or surface is brought into correspondence ...

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 ...

Eric Larson and Isabel Vogt have solved the interpolation problem — a centuries-old question about some of the most basic objects in geometry. Some credit goes to the chalkboard in their living room.

This textbook equips graduate students and advanced undergraduates with the necessary theoretical tools for applying algebraic geometry to information theory, and it covers primary applications in ...