# metadata.dc.description[].value
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Juan Carlos Naranjo del Val

# metadata.dc.description.abstract[].value
[en] This memory presents basic notions and results about Riemann surfaces which are later seen applied in an analogous way in graphs. The analogy is given in divisors’ context, enunciating a version for graphs of the known Riemann-Roch Theorem. In addition, other results analogous to classical facts about Riemann surfaces theory are shown and proved, like the jacobian or the Abel-Jacobi map.
Finally, the analogy with divisors is used for observing a possible application on a Chip-Firing game, a graphs’ game, making it possible to characterise the existence or non-existence of a winning strategy.

# metadata.dc.source[].value
Treballs Finals de Grau (TFG) - Matemàtiques