The fundamental group of compact Kähler threefolds

Preprints, Working Papers, ... Year : 2016

(1) , (2)

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Benoît Claudon

Géométrie

Andreas Höring

Laboratoire Jean Alexandre Dieudonné

Let $X$ be a compact Kähler manifold of dimension three. We prove that there exists a projective manifold $Y$ such that $\pi_1(X)\simeq \pi_1(Y)$.

Algebraic Geometry [math.AG]

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https://hal.science/hal-01415323

Submitted on : Monday, December 12, 2016-11:18:13 PM

Last modification on : Monday, March 11, 2024-3:14:03 PM

Long-term archiving on : Tuesday, March 28, 2017-12:33:32 AM

hal-01415323 , version 1 (12-12-2016)

hal-01415323 , version 2 (24-07-2017)

hal-01415323 , version 3 (01-03-2018)

hal-01415323 , version 4 (16-12-2020)

Benoît Claudon, Andreas Höring. The fundamental group of compact Kähler threefolds. 2016. ⟨hal-01415323v1⟩