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Originalsprache | Englisch |
---|---|
Seiten (von - bis) | 1353-1381 |
Seitenumfang | 29 |
Fachzeitschrift | Mathematische Annalen |
Jahrgang | 369 |
Ausgabenummer | 3-4 |
Publikationsstatus | Veröffentlicht - 2 Nov. 2016 |
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in: Mathematische Annalen, Jahrgang 369, Nr. 3-4, 02.11.2016, S. 1353-1381.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - The intersection cohomology of the Satake compactification of Ag for g≤ 4
AU - Grushevsky, Samuel
AU - Hulek, Klaus
N1 - Funding Information: Acknowledgements We would like to thank Mark Goresky and Luca Migliorini very much for generously explaining to us at the Institute for Advanced Study the many details about intersection cohomology and the decomposition theorem. We are grateful to Eduard Looijenga for numerous enlightening discussions, in particular about the extension of tautological classes to the Satake compactification. We are especially indebted to Mark Goresky for providing the proof of Proposition 5.1 and to Luca Migliorini for detailed comments on a preliminary version of this manuscript. We thank the referee for a careful reading of the manuscript and suggested improvements of the exposition. Both authors thank the Institute for Advanced Study and the Fund for Mathematics for support and the excellent working conditions in Spring 2015, when this work was begun. The first author is grateful to the Alexander von Humboldt foundation for its support; this work was partially enabled by the Friedrich Wilhelm Bessel Research Award from the Humboldt foundation. Funding Information: Research of S. Grushevsky is supported in part by National Science Foundation under the Grants DMS-12-01369 and DMS-15-01265, and by a Simons Fellowship in Mathematics (Simons Foundation Grant #341858 to Samuel Grushevsky). Research of K. Hulek is supported in part by DFG Grant Hu-337/6-2.
PY - 2016/11/2
Y1 - 2016/11/2
KW - 55N33
KW - Primary 14K10
KW - Secondary 14F43
UR - http://www.scopus.com/inward/record.url?scp=84994246018&partnerID=8YFLogxK
U2 - 10.1007/s00208-016-1491-1
DO - 10.1007/s00208-016-1491-1
M3 - Article
AN - SCOPUS:84994246018
VL - 369
SP - 1353
EP - 1381
JO - Mathematische Annalen
JF - Mathematische Annalen
SN - 0025-5831
IS - 3-4
ER -