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

International audienceLet ${\cal M}^{\rm st}$ (${\cal M}^{\rm pst}$) be a moduli space of stable (polystable) bundles with fixed determinant on a complex surface  with $b_1=1$, $p_g=0$, and let $Z\subset {\cal M}^{\rm st}$ be a pure $k$-dimensional analytic set. We prove a general formula for the homological boundary $\delta[Z]^{BM}\in H_{2k-1}^{BM}(\partial\hat {\cal M}^{\rm pst},\mathbb{Z})$ of the Borel-Moore fundamental class of $Z$  in the boundary of the blow up moduli space   $\hat {\cal M}^{\rm pst}$. The proof is based on the holomorphic model theorem proved in a previous article, which identifies a neighborhood of a boundary component of $\hat {\cal M}^{\rm pst}$ with a neighborhood of the boundary of a ``blow up flip passage".We then focus on a  particular instanton moduli space which intervenes  in our  program for proving the existence of curves on class VII surfaces. Using our result, combined  with general properties of the Donaldson cohomology classes, we prove incidence relations between the Zariski closures  (in the considered moduli space) of certain families of extensions.  These incidence relations are crucial for understanding the geometry of the moduli space, and cannot be obtained using classical complex geometric deformation theory

Analytic cycles in flip passages and in instanton moduli spaces over non-Kählerian surfaces