Geometry & Topology Volume 17, issue 1 (2013)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

Characteristic varieties of quasi-projective manifolds and orbifolds

Enrique Artal Bartolo, José Ignacio Cogolludo-Agustín and Daniel Matei

Geometry & Topology 17 (2013) 273–309

DOI: 10.2140/gt.2013.17.273

Bibliography

1	D Arapura, Geometry of cohomology support loci for local systems, I, J. Algebraic Geom. 6 (1997) 563 MR1487227
2	E Artal Bartolo, J Carmona Ruber, J I Cogolludo-Agustín, Essential coordinate components of characteristic varieties, Math. Proc. Cambridge Philos. Soc. 136 (2004) 287 MR2040575
3	E Artal Bartolo, J I Cogolludo-Agustín, On the connection between fundamental groups and pencils with multiple fibers, J. Singul. 2 (2010) 1 MR2763015
4	E Artal Bartolo, J I Cogolludo-Agustín, A Libgober, Depth of cohomology support loci for quasi-projective varieties via orbifold pencils arXiv:1203.2663v1
5	E Artal Bartolo, J I Cogolludo-Agustín, D Matei, Quasi-projectivity, Artin–Tits groups, and pencil maps, from: "Topology of algebraic varieties and singularities" (editors J I Cogolludo-Agustín, E Hironaka), Contemp. Math. 538, Amer. Math. Soc. (2011) 113 MR2777818
6	G Barthel, F Hirzebruch, T Höfer, Geradenkonfigurationen und Algebraische Flächen, 4, Friedr. Vieweg & Sohn (1987) MR912097
7	I Bauer, Irrational pencils on non-compact algebraic manifolds, Internat. J. Math. 8 (1997) 441 MR1460895
8	A Beauville, Annulation du H¹ pour les fibrés en droites plats, from: "Complex algebraic varieties" (editors K Hulek, T Peternell, M Schneider, F O Schreyer), Lecture Notes in Math. 1507, Springer (1992) 1 MR1178716
9	R Bieri, W D Neumann, R Strebel, A geometric invariant of discrete groups, Invent. Math. 90 (1987) 451 MR914846
10	F Bruhat, J Tits, Groupes réductifs sur un corps local, Inst. Hautes Études Sci. Publ. Math. (1972) 5 MR0327923
11	N Budur, Unitary local systems, multiplier ideals, and polynomial periodicity of Hodge numbers, Adv. Math. 221 (2009) 217 MR2509325
12	F Campana, Ensembles de Green–Lazarsfeld et quotients résolubles des groupes de Kähler, J. Algebraic Geom. 10 (2001) 599 MR1838973
13	F Campana, Orbifoldes géométriques spéciales et classification biméromorphe des variétés kählériennes compactes, J. Inst. Math. Jussieu 10 (2011) 809 MR2831280
14	F Campana, Quotients résolubles ou nilpotents des groupes de Kähler orbifoldes, Manuscripta Math. 135 (2011) 117 MR2783390
15	F Campana, Special orbifolds and birational classification: a survey, from: "Classification of algebraic varieties" (editors C Faber, G van der Geer, E Looijenga), EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich (2011) 123 MR2779470
16	F Catanese, Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations, Invent. Math. 104 (1991) 263 MR1098610
17	F Catanese, J Keum, K Oguiso, Some remarks on the universal cover of an open K3 surface, Math. Ann. 325 (2003) 279 MR1962049
18	J I Cogolludo-Agustín, Topological invariants of the complement to arrangements of rational plane curves, Mem. Amer. Math. Soc. 159 (2002) MR1921584
19	J I Cogolludo-Agustín, A Libgober, Mordell–Weil groups of elliptic threefolds and the Alexander module of plane curves, to appear in Crelle’s Journal arXiv:1008.2018
20	D C Cohen, Triples of arrangements and local systems, Proc. Amer. Math. Soc. 130 (2002) 3025 MR1908926
21	D C Cohen, G Denham, A I Suciu, Torsion in Milnor fiber homology, Algebr. Geom. Topol. 3 (2003) 511 MR1997327
22	K Corlette, C Simpson, On the classification of rank-two representations of quasiprojective fundamental groups, Compos. Math. 144 (2008) 1271 MR2457528
23	P Deligne, Équations différentielles à points singuliers réguliers, 163, Springer (1970) MR0417174
24	T Delzant, Trees, valuations and the Green–Lazarsfeld set, Geom. Funct. Anal. 18 (2008) 1236 MR2465689
25	A Dimca, Characteristic varieties and constructible sheaves, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei Mat. Appl. 18 (2007) 365 MR2349994
26	A Dimca, On the irreducible components of characteristic varieties, An. Ştiinţ. Univ. “Ovidius” Constanţa Ser. Mat. 15 (2007) 67 MR2396745
27	A Dimca, On admissible rank one local systems, J. Algebra 321 (2009) 3145 MR2510044
28	A Dimca, L Maxim, Multivariable Alexander invariants of hypersurface complements, Trans. Amer. Math. Soc. 359 (2007) 3505 MR2299465
29	A Dimca, Ş Papadima, A I Suciu, Alexander polynomials: essential variables and multiplicities, Int. Math. Res. Not. 2008 (2008) 36 MR2416998
30	A Dimca, Ş Papadima, A I Suciu, Topology and geometry of cohomology jump loci, Duke Math. J. 148 (2009) 405 MR2527322
31	R H Fox, Free differential calculus, V : the Alexander matrices re-examined, Ann. of Math. 71 (1960) 408 MR0111781
32	M Green, R Lazarsfeld, Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville, Invent. Math. 90 (1987) 389 MR910207
33	H A Hamm, Lefschetz theorems for singular varieties, from: "Singularities, Part 1" (editor P Orlik), Proc. Sympos. Pure Math. 40, Amer. Math. Soc. (1983) 547 MR713091
34	E Hironaka, Alexander stratifications of character varieties, Ann. Inst. Fourier (Grenoble) 47 (1997) 555 MR1450425
35	G Levitt, R-trees and the Bieri–Neumann–Strebel invariant, Publ. Mat. 38 (1994) 195 MR1291961
36	A Libgober, Characteristic varieties of algebraic curves, from: "Applications of algebraic geometry to coding theory, physics and computation" (editors C Ciliberto, F Hirzebruch, R Miranda, M Teicher), NATO Sci. Ser. II Math. Phys. Chem. 36, Kluwer Acad. Publ. (2001) 215 MR1866902
37	A Libgober, Non vanishing loci of Hodge numbers of local systems, Manuscripta Math. 128 (2009) 1 MR2470184
38	M V Nori, Zariski’s conjecture and related problems, Ann. Sci. École Norm. Sup. 16 (1983) 305 MR732347
39	F Serrano, Multiple fibres of a morphism, Comment. Math. Helv. 65 (1990) 287 MR1057245
40	C Simpson, Lefschetz theorems for the integral leaves of a holomorphic one-form, Compositio Math. 87 (1993) 99 MR1219454
41	C Simpson, Subspaces of moduli spaces of rank one local systems, Ann. Sci. École Norm. Sup. 26 (1993) 361 MR1222278
42	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
43	K Timmerscheidt, Mixed Hodge theory for unitary local systems, J. Reine Angew. Math. 379 (1987) 152 MR903638
44	O Zariski, The topological discriminant group of a Riemann surface of genus p, Amer. J. Math. 59 (1937) 335 MR1507244