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

Let $f(\mathbb{z},\bar{\mathbb{z}})$ be a convenient Newton non-degeneratemixed polynomial with strongly polar non-negative mixed weighted homogeneousface functions. We consider a convenient regular simplicial cone subdivision$\Sigma^*$ which is admissible for $f$ and take the toric modification$\hat{\pi} : X \to \mathbb{C}^n$ associated with $\Sigma^*$. We show that thetoric modification resolves topologically the singularity of the mixedhypersurface germ defined by $f(\mathbb{z},\bar{\mathbb{z}})$ under theAssumption (*) (Theorem 32). This result is an extension of the first part ofTheorem 11 ([4]) by Mutsuo Oka. We also consider some typical examples (\S 9).

Resolutions of Newton non-degenerate mixed polynomials of strongly polar non-negative mixed weighted homogeneous face type