space of functions associated to a divisor
Let be a curve defined over the field , and a divisor for that curve. We define the space of functions associated to a divisor by
where denotes the dual to the function field of .
For any , is a finite-dimensional vector space over , the algebraic closure of , and we denote its dimension by , a somewhat ubiquitous number that, for example, appears in the Riemann-Roch theorem for curves.
|Title||space of functions associated to a divisor|
|Date of creation||2013-03-22 14:12:25|
|Last modified on||2013-03-22 14:12:25|
|Last modified by||mathcam (2727)|