The intersection cohomology of the Satake compactification of Ag for g≤ 4

Samuel Grushevsky; Klaus Hulek

doi:10.1007/s00208-016-1491-1

The intersection cohomology of the Satake compactification of A_g for g≤ 4

Samuel Grushevsky
, Klaus Hulek

Simons Center for Geometry & Physics

Leibniz University Hannover

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We completely determine the intersection cohomology of the Satake compactifications A2Sat,A3Sat, and A4Sat, except for IH10(A4Sat). We also determine all the ingredients appearing in the decomposition theorem applied to the map from a toroidal compactification to the Satake compactification in these genera. As a byproduct we obtain in addition several results about the intersection cohomology of the link bundles involved.

Original language	English
Pages (from-to)	1353-1381
Number of pages	29
Journal	Mathematische Annalen
Volume	369
Issue number	3-4
DOIs	https://doi.org/10.1007/s00208-016-1491-1
State	Published - Dec 1 2017

Keywords

55N33
Primary 14K10
Secondary 14F43

Access to Document

10.1007/s00208-016-1491-1

Cite this

@article{e3b22f40ad8d411c956065306aaf3b7d,

title = "The intersection cohomology of the Satake compactification of Ag for g≤ 4",

abstract = "We completely determine the intersection cohomology of the Satake compactifications A2Sat,A3Sat, and A4Sat, except for IH10(A4Sat). We also determine all the ingredients appearing in the decomposition theorem applied to the map from a toroidal compactification to the Satake compactification in these genera. As a byproduct we obtain in addition several results about the intersection cohomology of the link bundles involved.",

keywords = "55N33, Primary 14K10, Secondary 14F43",

author = "Samuel Grushevsky and Klaus Hulek",

note = "Publisher Copyright: {\textcopyright} 2016, Springer-Verlag Berlin Heidelberg.",

year = "2017",

month = dec,

day = "1",

doi = "10.1007/s00208-016-1491-1",

language = "English",

volume = "369",

pages = "1353--1381",

journal = "Mathematische Annalen",

issn = "0025-5831",

number = "3-4",

}

TY - JOUR

T1 - The intersection cohomology of the Satake compactification of Ag for g≤ 4

AU - Grushevsky, Samuel

AU - Hulek, Klaus

PY - 2017/12/1

Y1 - 2017/12/1

N2 - We completely determine the intersection cohomology of the Satake compactifications A2Sat,A3Sat, and A4Sat, except for IH10(A4Sat). We also determine all the ingredients appearing in the decomposition theorem applied to the map from a toroidal compactification to the Satake compactification in these genera. As a byproduct we obtain in addition several results about the intersection cohomology of the link bundles involved.

AB - We completely determine the intersection cohomology of the Satake compactifications A2Sat,A3Sat, and A4Sat, except for IH10(A4Sat). We also determine all the ingredients appearing in the decomposition theorem applied to the map from a toroidal compactification to the Satake compactification in these genera. As a byproduct we obtain in addition several results about the intersection cohomology of the link bundles involved.

KW - 55N33

KW - Primary 14K10

KW - Secondary 14F43

UR - https://www.scopus.com/pages/publications/84994246018

U2 - 10.1007/s00208-016-1491-1

DO - 10.1007/s00208-016-1491-1

M3 - Article

AN - SCOPUS:84994246018

SN - 0025-5831

VL - 369

SP - 1353

EP - 1381

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 3-4

ER -

The intersection cohomology of the Satake compactification of A_g for g≤ 4

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this