6533b853fe1ef96bd12ac088

RESEARCH PRODUCT

Graphs of stable maps from closed surfaces to the projective plane

C. Mendes De JesusM. C. Romero-fuster

subject

Discrete mathematicsPlane curve010102 general mathematicsLine at infinity01 natural sciencesPlanar graph010101 applied mathematicsCombinatoricssymbols.namesakeBlocking setReal projective planesymbolsProjective spaceGeometry and TopologyProjective plane0101 mathematicsPencil (mathematics)Mathematics

description

Abstract We describe how to attach a weighted graph to each stable map from closed surfaces to projective plane and prove that any weighted graph with non negatively weighted vertices is the graph of some stable map from a closed surface to the projective plane.

yearjournalcountryeditionlanguage
2018-02-01Topology and its Applications
https://doi.org/10.1016/j.topol.2017.11.013