Fiber Bundles in Analytic, Zariski, and Étale Topologies
نویسندگان
چکیده
We compare the behavior of fiber bundles with structure group G for G the general linear group GL, the projective general linear group PGL, and the general affine group GA. We prove a criterion for when a GA-bundle is in fact a GL-bundle, i.e., a vector bundle, over the Riemann sphereP1. We also discuss the behavior of fiber bundles under different topologies; specifically, we compare the analytic versus Zariski topologies over the Riemann sphere P1, and compare the étale and Zariski topologies on schemes in general.
منابع مشابه
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