49 Pages
English
Gain access to the library to view online
Learn more

The action of SL2 on abelian varieties

-

Gain access to the library to view online
Learn more
49 Pages
English

Description

The action of SL2 on abelian varieties Arnaud Beauville Universite de Nice Bar Ilan, May 2008 Arnaud Beauville The action of SL2 on abelian varieties

  • hard lefschetz

  • sl2

  • bar ilan

  • sl2 ??

  • universite de nice


Subjects

Informations

Published by
Reads 16
Language English

Exrait

dueBrAanllTeuaivontiachena2oSLofavnailebseiteir
action
The
varieties
ofSL2on abelian
Universite´deNice
Arnaud Beauville
Bar Ilan, May 2008
Arnaud
Beauville
The
action
on
abelian
varieties
Synopsis
SL
of
Aut(A)
?
2
//NN?NNNN&2N&LSr(A)Cort(A)//Au)A(rroC:tseretnIalritoncfuontsac,)A(A(HC..,)eh,.vainanrioftsHA:htseseapec.snOHnceactionofSL2on2LSfonoieLdraHascl):(Actlacasiaswtigevvdresietetz.fsch(A):OnCHct:Anoioz.etteNoeLdrhcsfnoisaHfoK¨unnemadyknown(A(a)rlaeSf2LnoHC.)kuhchsiloP,nn
SL2
ut/A)(A//ySonspsiLS?2/ostnairavnilairo,.A)H(,CA)(:HfA:toCreseItnunctsonf)actrr(Aalc:cissHnO.)A(SLofH2acalonticaitnofo..h,neecsespacesSL2ontheehztfecs:ecAN.torsioedveardLnofHvig:)A(HtsiwtasescefdLarnC.Otzheku.)rAandueBuaivnnemann,Polishcherlakydanwonu¨K(ontiSLofnC2oA)H(
SL2
?Aut(A) NN NNNNN&& Corr(A)
eisetrivaanlibena2oLSfonoitcaehTell
Olacissalc:)A(HnztN.csehcAitto:eSL2oonofA)alnCH(onkydaernnu¨K(nwPon,anemukchshlicaitnofoLS2HradLefschetz.OnCH(g:)AseviiwtadetsrsvenoioarfHefdLfonoo2LSehTeitcaauBellviAr).udnas
SL2?//Aut(A) NNNNNNN&&Corr(A)
Interest:Corr(A) acts on functorial invariants ofA:H(A), CH(A), ... , hence action ofSL2on these spaces.
varietienabelianut(A)LS?2/A/ySonspsi