Volume 24, issue 2 (2020)

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

Volume 29
Issue 2, 549–862
Issue 1, 1–548

Volume 28, 9 issues

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