Projective structures and projective bundles over compact Riemann surfaces Export

@misc{citeulike:1413137, abstract = {A projective structure on a compact Riemann surface X of genus g is given by an atlas with transition functions in PGL(2,C). Equivalently, a projective structure is given by a projective sl(2,C)-bundle over X equipped with a section s and a foliation F which is both transversal to the fibers and the section s. From this latter geometric bundle picture, we survey on classical problems and results on projective structures. We will give a complete description of projective (actually affine) structures on the torus with an explicit versal family of foliated bundle picture.}, archivePrefix = {arXiv}, author = {Loray, Frank and Marin, David}, citeulike-article-id = {1413137}, citeulike-linkout-0 = {http://arxiv.org/abs/0706.3608}, citeulike-linkout-1 = {http://arxiv.org/pdf/0706.3608}, day = {25}, eprint = {0706.3608}, keywords = {complex\_analysis, foliations, hypergeometric, integrability, linear\_systems}, month = {Jun}, posted-at = {2007-06-26 10:53:16}, priority = {5}, title = {Projective structures and projective bundles over compact Riemann surfaces}, url = {http://arxiv.org/abs/0706.3608}, year = {2007} }

TY - ELEC ID - citeulike:1413137 L3 - citeulike-article-id:1413137 N2 - A projective structure on a compact Riemann surface X of genus g is given by an atlas with transition functions in PGL(2,C). Equivalently, a projective structure is given by a projective sl(2,C)-bundle over X equipped with a section s and a foliation F which is both transversal to the fibers and the section s. From this latter geometric bundle picture, we survey on classical problems and results on projective structures. We will give a complete description of projective (actually affine) structures on the torus with an explicit versal family of foliated bundle picture. TI - Projective structures and projective bundles over compact Riemann surfaces KW - complex_analysis KW - foliations KW - hypergeometric KW - integrability KW - linear_systems AU - Loray, Frank AU - Marin, David PY - 2007/Jun/25/ UR - http://arxiv.org/abs/0706.3608 ER -