Thesiss

Bezier polynomials are used frequently in computer graphics for interactive generation of smooth curves. As these polynomials have parametric equation forms, only a small number of guiding points are required to specify a desired curve. The inverse problem of finding an optimal …

Given a curve C over a field K, the period of C is the g.c.d. of the degrees of Gal(K ̄/K)-invariant invertible sheaves on C, while the index of C is the g.c.d. of the degrees of Gal(K ̄/K)-invariant divisors. S. Lichtenbaum proved divisibility conditions between the genus, period…