Geometry & Topology Volume 21, issue 4 (2017)

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The stable cohomology of the Satake compactification of $\mathcal{A}_g$

Jiaming Chen and Eduard Looijenga

Geometry & Topology 21 (2017) 2231–2241

DOI: 10.2140/gt.2017.21.2231

Bibliography

1	A Ash, D Mumford, M Rapoport, Y S Tai, Smooth compactifications of locally symmetric varieties, Cambridge Univ. Press (2010) MR2590897
2	A Borel, Stable real cohomology of arithmetic groups, Ann. Sci. École Norm. Sup. 7 (1974) 235 MR0387496
3	A Borel, Stable real cohomology of arithmetic groups, II, from: "Manifolds and Lie groups" (editors S Murakami, J Hano, K Okamoto, A Morimoto, H Ozeki), Progr. Math. 14, Birkhäuser (1981) 21 MR642850
4	A Borel, J P Serre, Corners and arithmetic groups, Comment. Math. Helv. 48 (1973) 436 MR0387495
5	R Charney, R Lee, Cohomology of the Satake compactification, Topology 22 (1983) 389 MR715247
6	J Chen, E Looijenga, The homotopy type of the Baily–Borel and allied compactifications, preprint (2015) arXiv:1508.05599
7	P Deligne, Théorie de Hodge, III, Inst. Hautes Études Sci. Publ. Math. 44 (1974) 5 MR0498552
8	G Faltings, C L Chai, Degeneration of abelian varieties, 22, Springer (1990) MR1083353
9	W Fulton, J Harris, Representation theory, 129, Springer (1991) MR1153249
10	M Goresky, W Pardon, Chern classes of automorphic vector bundles, Invent. Math. 147 (2002) 561 MR1893006
11	E Looijenga, Discrete automorphism groups of convex cones of finite type, Compos. Math. 150 (2014) 1939 MR3279263
12	E Looijenga, Goresky–Pardon lifts of Chern classes and associated Tate extensions, Compos. Math. 153 (2017) 1349
13	M Saito, Modules de Hodge polarisables, Publ. Res. Inst. Math. Sci. 24 (1988) 849 MR1000123