Companies willing to survive the numeric economy are forced to collaborate with each other in order to maximize their co-creation of value. This co-creation exists for many reasons: to sell and acquire information, goods and services, to optimize the quality of procedures, to improve security and privacy, etc. In this paper, we analyze and model value co-creation through three dimensions: the value's nature, the method of value creation, and the business object impacted by the value. By combining these dimensions, we afterwards suggest different types of co-creation schemas, and we propose an abstract language to communicate them. The latter is finally validated by applying the The Physics of Notations guidelines.