Gromov's ellipticity of principal $G_m$-bundles
Shulim Kaliman

TL;DR
This paper proves that all nontrivial principal G_m-bundles over complete uniformly rational varieties are algebraically elliptic, extending Gromov's notion of ellipticity to this class of bundles.
Contribution
It establishes the algebraic ellipticity of principal G_m-bundles over a broad class of varieties, generalizing previous results in the field.
Findings
Nontrivial principal G_m-bundles are algebraically elliptic.
The result applies to complete uniformly rational varieties.
Extension of Gromov's ellipticity concept to new geometric structures.
Abstract
We prove that every nontrivial principal -bundle over a complete uniformly rational variety is algebraically elliptic in the sense of Gromov.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology
