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2020 On line bundles in derived algebraic geometry
Toni Annala
Ann. K-Theory 5(2): 317-325 (2020). DOI: 10.2140/akt.2020.5.317

Abstract

We give the first example of a derived scheme X and a line bundle on the truncation tX so that does not extend to the original derived scheme X. In other words the pullback map Pic(X) Pic(tX), and hence also the pullback map K0(X)K0(tX), is not surjective. The derived schemes we construct have the further property that while their truncations are projective hypersurfaces, they fail to have any nontrivial line bundles, and therefore they are not quasiprojective.

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Toni Annala. "On line bundles in derived algebraic geometry." Ann. K-Theory 5 (2) 317 - 325, 2020. https://doi.org/10.2140/akt.2020.5.317

Information

Received: 26 April 2019; Revised: 15 October 2019; Accepted: 5 November 2019; Published: 2020
First available in Project Euclid: 11 August 2020

zbMATH: 07224516
MathSciNet: MR4113772
Digital Object Identifier: 10.2140/akt.2020.5.317

Subjects:
Primary: 14F05

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.5 • No. 2 • 2020
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