Alexander stratifications of character varieties

Annales de l'Institut Fourier

Volumn 47, Issue 2, 1997, Pages 555-583

  Hironaka, Eriko ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

Alexander invariants; Betti numbers; Binomial ideals; Character varieties; Complex projective varieties; CW complexes; Fundamental groups; K hler groups; Unbranched coverings

Indexed keywords

EID: 0031534284     PISSN: 03730956     EISSN: None     Source Type: Journal    
DOI: 10.5802/aif.1573     Document Type: Article

References (14)

1. S. ADAMS and P. SARNAK, Betti numbers of congruence groups, Israel J. of Math., 88 (1994), 31-72.
2. J. AMORÒS, M. BURGER, K. CORLETTE, D. KOTSCHICK and D. TOLEDO, Fundamental groups of compact Kähler manifolds, Mathematical surveys and Monographs, 44, Am. Math. Soc. (1996).
3. D. ARAPURA. Higgs line bundles, Green-Lazarsfeld sets, and maps of Kähler manifolds to curves, Bull. Am. Math. Soc., 26 (1992), 310-314.
4. D. ARAPURA, Survey on the fundamental group of smooth complex projective varieties, MSRI Series, 28 (1995).
5. 1 et systèmes paraconiques sur les surfaces, J. Reine Angew. Math., 388 (1988), 149-157.
6. K. BROWN, Cohomology of Groups, GTM 87, Springer-Verlag, New York, 1982.
7. F. CATANESE, Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations, Invent. Math., 104 (1991), 263-389.
8. R. FOX, Free Differential Calculus I, Annals of Math., 57 (1953), 547-560.
9. M. GROMOV, Sur le groupe fondamental d'une variété kählérienne, C. R. Acad. Sci. Paris., 308, I (1989), 67-70.
10. M. GREEN and R. LAZARSFELD, Higher obstructions to deforming cohomology groups of line bundles, J. Am. Math. Soc., 4 (1991), 87-103.
11. R. HARTSHORNE, Algebraic Geometry, GTM 52, Springer-Verlag, New York, 1977.
12. M. LAURENT. Équations diophantines exponentielles, Invent. Math., 78 (1982), 833-851.
13. C. SIMPSON, Subspaces of moduli spaces of rank one local systems, Ann. scient. École Norm. Sup., 4 (1993).
14. Y.-T. SIU, Strong rigidity for Kähler manifolds and the construction of bounded holomorphic functions, Discrete Groups in Analysis, Birkhäuser, 1987, 123-151.