Ruled function fields

Counting rational points on ruled varieties over function fields

Let K be the function field of an algebraic curve C defined over a finite field Fq. Let V ⊂ PK be a projective variety which is a union of lines. We prove a general result computing the number of rational points of bounded height on V/K. We first compute the number of rational points on a general line defined over K, and then sum over the lines covering V . Mathematics Subject Classification: 1...

Wide Ruled

We present Wide Ruled, an authoring tool for the creation of generative stories. It is based on the Universe author-goal-based model of story generation, and extends this model by providing support for reader interactivity, episodic memory elements, and an extensive graphical interface that is aimed at authors with little or no experience with computer programming and artificial intelligence pl...

Ruled Tracing

(a) L R s (u; s) C i (u) (b) L R s (u; s) C i (u) Figure 9: A direct intersection curve tracing of a DSSI between a developable surface R s (u; s) and the Utah teapot, is used to derive the domain of C i (u) that is in shadow. Two views of the same scene are provides. a tight link between two diicult problems from the two elds of computer graphics and computer aided geometric design, namely SSI...

Ruled out ? ⋆

A four generation supersymmetric model is proposed, in which the Tevatron “top-quark” events are reinterpreted as the production of t′ which decays dominantly to bW. In this model, mt ≃ mW , and t → t̃χ̃01, with t̃ → cχ̃01. This decay chain, which rarely produces a hard isolated lepton, would have been missed in all previous top quark searches. A narrow region of the model parameter space exists wh...

Catching Kangaroos in Function Fields Catching Kangaroos in Function Fields