Volume 13, issue 4 (2009)

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Polyhedral Kähler manifolds

Dmitri Panov

Geometry & Topology 13 (2009) 2205–2252
Bibliography
1 A Borel, P P Grivel, B Kaup, A Haefliger, B Malgrange, F Ehlers, Algebraic $D$–modules, Perspectives in Math. 2, Academic Press (1987) MR882000
2 J Cheeger, A vanishing theorem for piecewise constant curvature spaces, from: "Curvature and topology of Riemannian manifolds (Katata, 1985)" (editors K Shiohama, T Sakai, T Sunada), Lecture Notes in Math. 1201, Springer (1986) 33 MR859575
3 W Couwenberg, G Heckman, E Looijenga, Geometric structures on the complement of a projective arrangement, Publ. Math. Inst. Hautes Études Sci. (2005) 69 MR2217047
4 R Friedman, Algebraic surfaces and holomorphic vector bundles, Universitext, Springer (1998) MR1600388
5 B Grünbaum, Arrangements of hyperplanes, from: "Proceedings of the Second Louisiana Conference on Combinatorics, Graph Theory and Computing (Louisiana State Univ., Baton Rouge, La., 1971)" (editors R C Mullin, K B Reid, D P Roselle, R S D Thomas), Louisiana State Univ. (1971) 41 MR0320895
6 B Grünbaum, Arrangements and spreads, Conf. Board of Math. Sci. Reg. Conf. Ser. in Math. 10, Amer. Math. Soc. (1972) MR0307027
7 F Hirzebruch, Algebraic surfaces with extremal Chern numbers (based on a dissertation by T Höfer, Bonn, 1984), Uspekhi Mat. Nauk 40 (1985) 121 MR807793
8 J N N Iyer, C Simpson, The Chern character of a parabolic bundle, and a parabolic Reznikov theorem in the case of finite order at infinity arXiv:math.AG/06121444
9 J Kaneko, S Tokunaga, M Yoshida, Complex crystallographic groups. II, J. Math. Soc. Japan 34 (1982) 595 MR669270
10 W Kühnel, T F Banchoff, The $9$–vertex complex projective plane, Math. Intelligencer 5 (1983) 11 MR737686
11 A Langer, Logarithmic orbifold Euler numbers of surfaces with applications, Proc. London Math. Soc. $(3)$ 86 (2003) 358 MR1971155
12 J Li, Hermitian–Einstein metrics and Chern number inequalities on parabolic stable bundles over Kähler manifolds, Comm. Anal. Geom. 8 (2000) 445 MR1775134
13 T Mochizuki, Kobayashi–Hitchin correspondence for tame harmonic bundles and an application, Astérisque (2006) MR2310103
14 T Mochizuki, Asymptotic behaviour of tame harmonic bundles and an application to pure twistor $D$–modules. I, Mem. Amer. Math. Soc. 185 (2007) MR2281877
15 M Ohtsuki, A residue formula for Chern classes associated with logarithmic connections, Tokyo J. Math. 5 (1982) 13 MR670900
16 S Orshanskiy, A PL–manifold of nonnegative curvature homeomorphic to $S^2 \times S^2$ is a direct metric product arXiv:0807.1922
17 A Petrunin, Polyhedral approximations of Riemannian manifolds, Turkish J. Math. 27 (2003) 173 MR1975337
18 C T Simpson, Constructing variations of Hodge structure using Yang–Mills theory and applications to uniformization, J. Amer. Math. Soc. 1 (1988) 867 MR944577
19 W P Thurston, Shapes of polyhedra and triangulations of the sphere, from: "The Epstein birthday schrift" (editors I Rivin, C Rourke, C Series), Geom. Topol. Monogr. 1, Geom. Topol. Publ. (1998) 511 MR1668340
20 M Troyanov, Les surfaces euclidiennes à singularités coniques, Enseign. Math. $(2)$ 32 (1986) 79 MR850552