| Full text | |
| Author(s): |
Garcia, Daniel Lopez
Total Authors: 1
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| Document type: | Journal article |
| Source: | MOSCOW MATHEMATICAL JOURNAL; v. 24, n. 2, p. 19-pg., 2024-04-01. |
| Abstract | |
We consider a rational map F defined by a quotient of products of lines in general position and we study the monodromy problem and the tangential center-focus problem for the fibration associated with F. Thus, we study the submodule of the 1-homology group of a regular fiber of F generated by the orbit of the monodromy action on a vanishing cycle. Moreover, we characterize the meromorphic 1-forms omega in P-2 such that the Abelian integral integral(delta t) omega vanishes on a family of cycles delta(t) around a center singularity. (AU) | |
| FAPESP's process: | 22/04705-8 - Poisson geometry and Lefschetz fibrations |
| Grantee: | Daniel Felipe López Garcia |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |