3 problems

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Conjecture on the fundamental group in the étale weak Lefschetz setting
Fundamental-group conjecture. The homomorphism
Conjectureopenetale-cohomology fundamental-groups weak-lefschetz-theoremsarXiv posted 2 days ago
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Conjecture on connectivity varying with the cohomology degree
Connectivity conjecture. There exists a closed embedding $t':T'\to \mathbb{P}^m$ such that Theorem (1) yields the $u$ -connectivity of $t'$ with respect to $H_n$ for some value of…
Conjectureopenconnectivity etale-cohomology weak-lefschetz-theoremsarXiv posted 2 days ago
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Bijectivity conjecture for the fundamental group map of a fat hyperplane section
Let $\mathfrak{i}':Z'\hookrightarrow X'$ be the morphism in Corollary 3(3), where the setting of the relevant theorem and proposition is assumed, and suppose that $a-e-b\geq 2$ . Th…
Conjectureopenalgebraic-geometry fundamental-groups weak-lefschetz-theoremsarXiv posted 2 days ago

Conjecture on the fundamental group in the étale weak Lefschetz setting