One example, called sheaves, can be associated naturally to points on the Fargues-Fontaine curve the way tangent lines can be associated to points on a circle. Sheaves were substantially developed in ...

In addition to the piecewise linear representation available in earlier formats (shown in figure 2), P49 OASIS provides the ability to define parametric curves, such as cubic Bezier curves. Figure 3 ...

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 ...

These basic requirements led to a key geometric insight: the complicated mechanical description of a telescope can be replaced by simple geometric curves that exhibit a constant amount of bend but ...