English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

This is the first article in an upcoming series of papers. They have arisenthrough an attempt to answer open questions of Deligne proposed in "Ledeterminant de la cohomologie", Contemp. Mathematics 67 (1987). It amounts tofunctorial and metrized versions of the Grothendieck-Riemann-Roch theorem, aswell as a Lefschetz-Riemann-Roch formula in the sense of Thomason, cf."Lefschetz-Riemann-Roch theorem and coherent trace formula" Ann. Sci. Ec. Norm.Sup. 18 (1985), Theorem 3.5. In this article we treat various preliminaryresults on virtual categories which are the categories where theDeligne-Riemann-Roch theorem is originally formulated. Finally we compare ourconstructions to constructions of Franke on Chern intersection functors andChow categories.

A Deligne-Riemann-Roch isomorphism I: Preliminaries on virtual categories