English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
 
 
DownloadE-Mail
 Local TagsRelease HistoryDetailsSummary
  On the existence of ghost classes in the cohomology of the Shimura variety associated to GU(2,2)

Moya Giusti, M. V. (2018). On the existence of ghost classes in the cohomology of the Shimura variety associated to GU(2,2). Mathematical Research Letters, 25(4), 1227-1249. doi:10.4310/MRL.2018.v25.n4.a9.

Item is

 

show all hide all

Basic

show hide
Item Permalink: https://hdl.handle.net/21.11116/0000-0003-ACDE-2 Version Permalink: https://hdl.handle.net/21.11116/0000-000C-D0C3-C
Genre: Journal Article
Latex : On the existence of ghost classes in the cohomology of the Shimura variety associated to $GU(2,2)$

Files

show Files
hide Files
:
Moya Giusti_On the existence of ghost classes_2018.pdf (Publisher version), 371KB
 
File Permalink:
-
Name:
Moya Giusti_On the existence of ghost classes_2018.pdf
Description:
-
OA-Status:
Visibility:
Restricted (Max Planck Institute for Mathematics, MBMT; )
MIME-Type / Checksum:
application/pdf
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
License:
-

Locators

show
hide
Locator:
http://dx.doi.org/10.4310/MRL.2018.v25.n4.a9 (Publisher version)
Description:
Online content belonging to subscription years four (4) or more prior to the current calendar year, is freely accessible without subscription. Thus, during calendar year 2023 (Jan. 1 through Dec. 31), the full text of journal issues of 2019 and earlier years will be freely accessible.
OA-Status:
Green

Creators

show
hide
 Creators:
Moya Giusti, Matias Victor1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

Content

show
hide
Free keywords: -
 Abstract: In this paper we study the existence of ghost classes in the cohomology of the Shimura variety attached to the group of unitary similitudes of signature (2,2), denoted by GU(2,2). We use considerations on the weights of the mixed Hodge structures attached to the cohomology spaces involved in their definition. The non-existence of ghost classes is known in the cases in which the highest weight of the irreducible representation is regular. We prove that for most irreducible representations with irregular highest weight there are no ghost classes and for the other cases we show that the possible weights in the mixed Hodge structure on the space of ghost classes belong always to the set consisting of the middle weight and the
middle weight plus one.

Details

show
hide
Language(s): eng - English
 Dates: 2018
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.4310/MRL.2018.v25.n4.a9
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Mathematical Research Letters
  Abbreviation : Math. Res. Lett.
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 25 (4) Sequence Number: - Start / End Page: 1227 - 1249 Identifier: -