スレタイ箱入り無数目を語る部屋35(あほ二人の”アナグマの姿焼き"Part9ｗ)

A Conditional Oka Complex Structure of the Six-Sphere
Zhangchi Chen
Alpöge constructs a compact complex threefold Y fibred
over P1 by complex two-tori away from three special points.
We prove that Y is an Oka manifold. The proof applies to
every admissible period parameter with the same logarithmic
twists and cusp gluing. If one also accepts the identification
of the underlying smooth manifold with S6 in Alpöge's Theorem~8.1,
then the six-sphere admits
an Oka complex structure. This topological identification
is not used in the Oka proof.

[2] arXiv:2609.26528 [pdf, html, other]
A first-jet characterization of Griffiths positivity
Yun-Heng Du, Song-Yan Xie
Subjects: Complex Variables (math.CV); Algebraic Geometry (math.AG)
[3] arXiv:2609.26504 [pdf, html, other]
Ample vector bundles without Griffiths-semipositive metrics
Yun-Heng Du, Song-Yan Xie
Subjects: Complex Variables (math.CV); Algebraic Geometry (math.AG)