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

We show that the smooth theta divisors of general principally polarisedabelian varieties can be chosen as irreducible algebraic representatives of thecoefficients of the Chern-Dold character in complex cobordisms and describe theaction of the Landweber-Novikov operations on them. We introduce a quantisationof the complex cobordism theory with the dual Landweber-Novikov algebra as thedeformation parameter space and show that the Chern-Dold character can beinterpreted as the composition of quantisation and dequantisation maps. Somesmooth real-analytic representatives of the cobordism classes of theta divisorsare described in terms of the classical Weierstrass elliptic functions. Thelink with the Milnor-Hirzebruch problem about possible characteristic numbersof irreducible algebraic varieties is discussed.

Chern-Dold character in complex cobordisms and theta divisors