New examples of algebraic integral cohomology classes on Jacobians of very general curves are not integral linear combinations of smooth subvariety classes, with some in the minimal dimension 6.
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Singular cohomology with finite coefficients of finite-dimensional Stein spaces is isomorphic to étale cohomology of their Stein algebras.
The authors establish positive and negative rationality results for certain real threefolds that are conic or quadric surface bundles with connected real locus and vanishing intermediate Jacobian obstruction.
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Smooth subvarieties of Jacobians
New examples of algebraic integral cohomology classes on Jacobians of very general curves are not integral linear combinations of smooth subvariety classes, with some in the minimal dimension 6.
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\'Etale cohomology of Stein algebras
Singular cohomology with finite coefficients of finite-dimensional Stein spaces is isomorphic to étale cohomology of their Stein algebras.
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On the rationality of some real threefolds
The authors establish positive and negative rationality results for certain real threefolds that are conic or quadric surface bundles with connected real locus and vanishing intermediate Jacobian obstruction.