Tootfinder

On some indices of foliations and applications
Arturo Fern\'andez-P\'erez, Evelia R. Garc\'ia Barroso, Nancy Saravia-Molina
https://arxiv.org/abs/2506.01090

On some indices of foliations and applications
In this paper we establish a relationship between the Milnor number, the $χ$-number, and the Tjurina number of a foliation with respect to an effective balanced divisor of separatrices. Moreover, using the Gómez-Mont--Seade--Verjovsky index, we prove that the difference between the multiplicity and the Tjurina number of a foliation with respect to a reduced curve is independent of the foliation. We also derive an adjunction formula for the Tjurina number of a foliation with respect to a reduc…