Volume 24, issue 2 (2020)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 28
Issue 6, 2483–2999
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
Kähler groups and subdirect products of surface groups

Claudio Llosa Isenrich

Geometry & Topology 24 (2020) 971–1017
Bibliography
1 J Amorós, M Burger, K Corlette, D Kotschick, D Toledo, Fundamental groups of compact Kähler manifolds, 44, Amer. Math. Soc. (1996) MR1379330
2 D Arapura, Homomorphisms between Kähler groups, from: "Topology of algebraic varieties and singularities" (editors J I Cogolludo-Agustín, E Hironaka), Contemp. Math. 538, Amer. Math. Soc. (2011) 95 MR2777817
3 R Bieri, Homological dimension of discrete groups, Queen Mary College, Department of Pure Mathematics (1981) MR715779
4 C Birkenhake, H Lange, Complex tori, 177, Birkhäuser (1999) MR1713785
5 I Biswas, M Mj, D Pancholi, Homotopical height, Internat. J. Math. 25 (2014) MR3300544
6 I Biswas, M Mj, H Seshadri, 3–Manifold groups, Kähler groups and complex surfaces, Commun. Contemp. Math. 14 (2012) MR2989642
7 M R Bridson, J Howie, C F Miller III, H Short, The subgroups of direct products of surface groups, Geom. Dedicata 92 (2002) 95 MR1934013
8 M R Bridson, J Howie, C F Miller III, H Short, Subgroups of direct products of limit groups, Ann. of Math. 170 (2009) 1447 MR2600879
9 M R Bridson, J Howie, C F Miller III, H Short, On the finite presentation of subdirect products and the nature of residually free groups, Amer. J. Math. 135 (2013) 891 MR3086064
10 M R Bridson, C Llosa Isenrich, Kodaira fibrations, Kähler groups, and finiteness properties, Trans. Amer. Math. Soc. 372 (2019) 5869 MR4014297
11 M R Bridson, C F Miller III, Structure and finiteness properties of subdirect products of groups, Proc. Lond. Math. Soc. 98 (2009) 631 MR2500867
12 M Burger, Fundamental groups of Kähler manifolds and geometric group theory, from: "Séminaire Bourbaki, 2009/2010", Astérisque 339, Soc. Math. France (2011) MR2906358
13 F Catanese, Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations, Invent. Math. 104 (1991) 263 MR1098610
14 F Catanese, Fibred Kähler and quasi-projective groups, Adv. Geom. 3 (2003) MR2028385
15 F Catanese, Differentiable and deformation type of algebraic surfaces, real and symplectic structures, from: "Symplectic 4–manifolds and algebraic surfaces" (editors F Catanese, G Tian), Lecture Notes in Math. 1938, Springer (2008) 55 MR2441412
16 K Corlette, C Simpson, On the classification of rank-two representations of quasiprojective fundamental groups, Compos. Math. 144 (2008) 1271 MR2457528
17 T Delzant, Trees, valuations and the Green–Lazarsfeld set, Geom. Funct. Anal. 18 (2008) 1236 MR2465689
18 T Delzant, Kähler groups, –trees, and holomorphic families of Riemann surfaces, Geom. Funct. Anal. 26 (2016) 160 MR3494488
19 T Delzant, M Gromov, Cuts in Kähler groups, from: "Infinite groups: geometric, combinatorial and dynamical aspects" (editors L Bartholdi, T Ceccherini-Silberstein, T Smirnova-Nagnibeda, A Zuk), Progr. Math. 248, Birkhäuser (2005) 31 MR2195452
20 T Delzant, P Py, Cubulable Kähler groups, Geom. Topol. 23 (2019) 2125 MR3988093
21 A Dimca, Ş Papadima, A I Suciu, Non-finiteness properties of fundamental groups of smooth projective varieties, J. Reine Angew. Math. 629 (2009) 89 MR2527414
22 A Dimca, A I Suciu, Which 3–manifold groups are Kähler groups ?, J. Eur. Math. Soc. 11 (2009) 521 MR2505439
23 R Geoghegan, Topological methods in group theory, 243, Springer (2008) MR2365352
24 M Goresky, R MacPherson, Stratified Morse theory, 14, Springer (1988) MR932724
25 M Gromov, Sur le groupe fondamental d’une variété kählérienne, C. R. Acad. Sci. Paris Sér. I Math. 308 (1989) 67 MR983460
26 F E A Johnson, E G Rees, On the fundamental group of a complex algebraic manifold, Bull. London Math. Soc. 19 (1987) 463 MR898726
27 D H Kochloukova, On subdirect products of type FPm of limit groups, J. Group Theory 13 (2010) 1 MR2604842
28 D Kotschick, The deficiencies of Kähler groups, J. Topol. 5 (2012) 639 MR2971609
29 D Kotschick, Three-manifolds and Kähler groups, Ann. Inst. Fourier (Grenoble) 62 (2012) 1081 MR3013817
30 B Kuckuck, Subdirect products of groups and the n(n + 1)(n + 2) conjecture, Q. J. Math. 65 (2014) 1293 MR3285772
31 C Llosa Isenrich, Branched covers of elliptic curves and Kähler groups with exotic finiteness properties, Ann. Inst. Fourier (Grenoble) 69 (2019) 335 MR3973452
32 E J N Looijenga, Isolated singular points on complete intersections, 77, Cambridge Univ. Press (1984) MR747303
33 F Oort, Y G Zarhin, Complex tori, Indag. Math. 7 (1996) 473 MR1620112
34 P Py, Coxeter groups and Kähler groups, Math. Proc. Cambridge Philos. Soc. 155 (2013) 557 MR3118420
35 J P Serre, Sur la topologie des variétés algébriques en caractéristique p, from: "Symposium internacional de topología algebraica", Universidad Nacional Autónoma de México (1958) 24 MR0098097
36 Y T Siu, Strong rigidity for Kähler manifolds and the construction of bounded holomorphic functions, from: "Discrete groups in geometry and analysis" (editor R Howe), Progr. Math. 67, Birkhäuser (1987) 124 MR900825