Abstract. We apply tools coming from singularity theory, as Hamburger-Noether expansions, and from valuation theory, as generating sequences, to explicitly describe order functions...
Abstract. Hyperbolic area is characterized as the unique continuous isometry invariant simple valuation on convex polygons in H2 . We then show that continuous isometry invariant s...
Abstract. We show how computations such as those involved in American or European-style option price valuations with the explicit finite difference method can be performed in par...
In the present article, we consider algebraic geometry codes on some rational surfaces. The estimate of the minimum distance is translated into a point counting problem on plane cu...
In recent years, with the rapid growth of the Internet as well as the increasing demand for broadband services, live pay-television broadcasting via internet has become a promising...