Non-embeddability of general unipotent diffeomorphisms up to formal conjugacy TeX Export

@article{citeulike:4067394, abstract = {The formal class of a germ of diffeomorphism \$\phi\$ is embeddable in a flowif \$\phi\$ is formally conjugated to the exponential of a germ of vector field.We prove that there are complex analytic unipotent germs of diffeomorphisms at\$({\mathbb C}^{n},0)\$ (\$n>1\$) whose formal class is non-embeddable. Theexamples are inside a family in which the non-embeddability is of geometricaltype. The proof relies on the properties of some linear functional operatorsthat we obtain through the study of polynomial families of diffeomorphisms viapotential theory.}, archivePrefix = {arXiv}, author = {Ribon, Javier}, citeulike-article-id = {4067394}, citeulike-linkout-0 = {http://arxiv.org/abs/0902.2985}, citeulike-linkout-1 = {http://arxiv.org/pdf/0902.2985}, day = {17}, eprint = {0902.2985}, keywords = {algebraic\_geometry, complex\_analysis, divergence, normal\_forms}, month = {Feb}, posted-at = {2009-02-18 13:55:05}, priority = {4}, title = {Non-embeddability of general unipotent diffeomorphisms up to formal conjugacy}, url = {http://arxiv.org/abs/0902.2985}, year = {2009} }

TY - JOUR ID - citeulike:4067394 L3 - citeulike-article-id:4067394 N2 - The formal class of a germ of diffeomorphism $\phi$ is embeddable in a flowif $\phi$ is formally conjugated to the exponential of a germ of vector field.We prove that there are complex analytic unipotent germs of diffeomorphisms at$({\mathbb C}^{n},0)$ ($n>1$) whose formal class is non-embeddable. Theexamples are inside a family in which the non-embeddability is of geometricaltype. The proof relies on the properties of some linear functional operatorsthat we obtain through the study of polynomial families of diffeomorphisms viapotential theory. TI - Non-embeddability of general unipotent diffeomorphisms up to formal conjugacy KW - algebraic_geometry KW - complex_analysis KW - divergence KW - normal_forms AU - Ribon, Javier PY - 2009/Feb/17/ UR - http://arxiv.org/abs/0902.2985 ER -