RT Journal Article
T1 Effective invariants of braid monodromy
A1 Artal Bartolo, Enrique
A1 Carmona Ruber, Jorge
A1 Cogolludo Agustín, José Ignacio
AB In this paper we construct new invariants of algebraic curves based on (not necessarily generic) braid monodromies. Such invariants are effective in the sense that their computation allows for the study of Zariski pairs of plane curves. Moreover, the Zariski pairs found in this work correspond to curves having conjugate equations in a number field, and hence are not distinguishableby means of computing algebraic coverings. We prove that the embeddings of the curves in the plane are not homeomorphic. We also apply these results to the classification problem of elliptic surfaces.
PB American Mathematical Society
SN 0002-9947
YR 2007
FD 2007
LK https://hdl.handle.net/20.500.14352/50721
UL https://hdl.handle.net/20.500.14352/50721
LA eng
DS Docta Complutense
RD 6 abr 2025