Fibrations of genus two on complex surfaces TeX Export

@article{citeulike:4016290, abstract = {We consider fibrations of genus 2 over complex surfaces. The purpose of this paper is primarily to provide a geometric description of the possible structures of the fibration on a neighborhood of a singular fiber. In particular it is shown that the "geometric data" of the singular fiber determines the fibration on its neighborhood up to a transversely holomorphic \$C^{\infty}\$-diffeomorphism. The method employed is quite flexible and it applies to good extent to fibrations of arbitrary genus.}, archivePrefix = {arXiv}, author = {Rebelo, Julio C. and Santoro, Bianca}, citeulike-article-id = {4016290}, citeulike-linkout-0 = {http://arxiv.org/abs/0902.0944}, citeulike-linkout-1 = {http://arxiv.org/pdf/0902.0944}, day = {5}, eprint = {0902.0944}, keywords = {integrability, polynomial\_vector\_fields}, month = {Feb}, posted-at = {2009-02-06 14:40:05}, priority = {2}, title = {Fibrations of genus two on complex surfaces}, url = {http://arxiv.org/abs/0902.0944}, year = {2009} }

TY - JOUR ID - citeulike:4016290 L3 - citeulike-article-id:4016290 N2 - We consider fibrations of genus 2 over complex surfaces. The purpose of this paper is primarily to provide a geometric description of the possible structures of the fibration on a neighborhood of a singular fiber. In particular it is shown that the "geometric data" of the singular fiber determines the fibration on its neighborhood up to a transversely holomorphic $C^{\infty}$-diffeomorphism. The method employed is quite flexible and it applies to good extent to fibrations of arbitrary genus. TI - Fibrations of genus two on complex surfaces KW - integrability KW - polynomial_vector_fields AU - Rebelo, Julio AU - Santoro, Bianca PY - 2009/Feb/05/ UR - http://arxiv.org/abs/0902.0944 ER -