Galindo Pastor, Carlos; Hernando, Fernando; Monserrat Delpalillo, Francisco José(Cambridge University Press (CUP), 2016)
We give an explicit formula for the log-canonical threshold of a reduced germ of plane curve. The formula depends only on the first two maximal contact values of the branches and their intersection multiplicities. We also ...
Galindo Pastor, Carlos; Monserrat Delpalillo, Francisco José(Elsevier, 2014-06-01)
We solve the Poincaré problem for plane foliations with only one dicritical divisor. Moreover, in this case, we give a simple algorithm that decides whether a foliation has a rational first integral and computes it in the ...