Linear Shafarevich conjecture
By Philippe Eyssidieux, L. Katzarkov, T. Pantev, M. Ramachandran. 2009
51 citations recorded by the source corpus.
In this paper we settle armatively Shafarevich’s uniformization conjecture for varieties with linear fundamental groups. We prove the strongest to date uniformization result | the universal covering space of a complex projective manifold with a linear fundamental group is holomorphically convex. The proof is based on both known and newly developed techniques in non-abelian Hodge theory.
Subfields: Algebra and Number Theory, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/5cf80cda6cec3e5279d302ab51627d9becd63e32
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In Algebra and Number Theory
- Bruno Klingler
- B. Totaro
- F. Catanese
- Claire Voisin
- Vivek V. Shende
- Sam Payne
- L. Gottsche
- David Anderson
In Geometry and Topology
- F. Catanese
- Y. Brunebarbe
- Bruno Klingler
- B. Totaro
- Ingrid Bauer
- Sam Payne
- Fritz Grunewald
- Max Lieblich
Citations in the corpus
- Topological methods in moduli theory (2014, background): “Now, since there has been a series of results in this direction,we refer to the introduction and bibliography in the most recent one [160] for some history of the problem and for more information concerning previous results, especially the first ones due to Jost and Zuo (for instance, [198,229–231])”
- Symmetric differentials and the fundamental group (2012, result): “This reduction to the case of discrete monodromy group is very much in the spirit of the arguments by Eyssidieux, Katzarkov, and others which prove the Shafarevich conjecture for linear groups [11, 12, 22].”