Geometry & Topology Volume 25, issue 5 (2021)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

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On Kodaira fibrations with invariant cohomology

Corey Bregman

Geometry & Topology 25 (2021) 2385–2404

DOI: 10.2140/gt.2021.25.2385

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, Toward the structure of fibered fundamental groups of projective varieties, J. Éc. Polytech. Math. 4 (2017) 595 MR3665609
3	M F Atiyah, The signature of fibre-bundles, from: "Global analysis" (editors D C Spencer, S Iyanaga), Univ. Tokyo Press (1969) 73 MR0254864
4	A Beauville, Complex algebraic surfaces, 68, Cambridge Univ. Press (1983) MR732439
5	M R Bridson, C Llosa Isenrich, Kodaira fibrations, Kähler groups, and finiteness properties, Trans. Amer. Math. Soc. 372 (2019) 5869 MR4014297
6	E Brieskorn, Rationale Singularitäten komplexer Flächen, Invent. Math. 4 (1968) 336 MR222084
7	J Bryan, R Donagi, Surface bundles over surfaces of small genus, Geom. Topol. 6 (2002) 59 MR1885589
8	F Catanese, Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations, Invent. Math. 104 (1991) 263 MR1098610
9	F Catanese, S Rollenske, Double Kodaira fibrations, J. Reine Angew. Math. 628 (2009) 205 MR2503241
10	L Flapan, Monodromy of Kodaira fibrations of genus 3, preprint (2017) arXiv:1709.03164
11	G González Díez, W J Harvey, On complete curves in moduli space, I, Math. Proc. Cambridge Philos. Soc. 110 (1991) 461 MR1120481
12	G González Díez, W J Harvey, On complete curves in moduli space, II, Math. Proc. Cambridge Philos. Soc. 110 (1991) 467 MR1120481
13	P Griffiths, J Harris, Principles of algebraic geometry, Wiley (1978) MR507725
14	J A Hillman, Complex surfaces which are fibre bundles, Topol. Appl. 100 (2000) 187 MR1733043
15	F Hirzebruch, The signature of ramified coverings, from: "Global analysis" (editors D C Spencer, S Iyanaga), Univ. Tokyo Press (1969) 253 MR0258060
16	M Kapovich, On normal subgroups in the fundamental groups of complex surfaces, preprint (1998) arXiv:math/9808085
17	A Kas, On deformations of a certain type of irregular algebraic surface, Amer. J. Math. 90 (1968) 789 MR242199
18	K Kodaira, A certain type of irregular algebraic surfaces, J. Anal. Math. 19 (1967) 207 MR216521
19	D Kotschick, On regularly fibered complex surfaces, from: "Proceedings of the Kirbyfest" (editors J Hass, M Scharlemann), Geom. Topol. Monogr. 2, Geom. Topol. Publ. (1999) 291 MR1734413
20	J A Lee, M Lönne, S Rollenske, Double Kodaira fibrations with small signature, Int. J. Math. 31 (2020) MR4123941
21	S Morita, Characteristic classes of surface bundles, Invent. Math. 90 (1987) 551 MR914849
22	D Mumford, The topology of normal singularities of an algebraic surface and a criterion for simplicity, Inst. Hautes Études Sci. Publ. Math. 9 (1961) 5 MR153682
23	D Mumford, Abelian varieties, 5, Oxford Univ. Press (1970) MR0282985
24	G Riera, Semi-direct products of Fuchsian groups and uniformization, Duke Math. J. 44 (1977) 291 MR486650
25	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
26	J Stallings, Homology and central series of groups, J. Algebra 2 (1965) 170 MR175956
27	C Voisin, Hodge theory and complex algebraic geometry, II, 77, Cambridge Univ. Press (2003) MR1997577
28	C Zaal, Explicit complete curves in the moduli space of curves of genus three, Geom. Dedicata 56 (1995) 185 MR1338958