III The period map

Arnaud Beauville

Description

III. The period map Arnaud Beauville Universite de Nice March 27, 2008 Arnaud Beauville III. The period map

• period map


• choose ?b


• hodge decomposition


• xo ???


• universite de nice

Sujets

• Beauville
• Period mapping
• De Rham cohomology
• Universidad de Niza Sophia Antipolis

Informations

• Publié par: pefav
• Nombre de lectures: 10
• Langue: English

Extrait

III.

The

period

map

Arnaud Beauville

Universite´deNice

March 27, 2008

Arnaud Beauville

III. The period map

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Arnaud

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ioerapdmTeholacpl Hioitosmpcodegeod cigoyllaT .3K lopoB,onisexoc,llyal C=σ[⊕] 1 HHn( 2 ,X)C,likefor ,1 ⊕C[¯σ] yspmes b σciofeltc ~ ~ ~ ~ F X  Choo ~ ~ ~ B ## // u B×X F F F F F F F F omffeditsmuisphor σ[] b P . oropisitno (X,C));℘(b):=u ∗ b oirepamd →B:℘ 2 H(P onrmfoX b acre;phb III.illeeauvaudBA . nr C,)) 2 HX(ni(PicdruaaqtoinfBmosihpromosilacol℘

X

X:

of

X.

X o

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→

deformation

universal

pamd

∼ −→

X

hyperk¨ahlerwithsymplecticformσ;

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