Global HMS for Genus Two · 2020. 11. 6. · Genus two complex curve I I C Muz E symmetric Im I o...
Transcript of Global HMS for Genus Two · 2020. 11. 6. · Genus two complex curve I I C Muz E symmetric Im I o...
-
Global HMS for Genus Two Curveswith Haniya Azam CatherineCannizzo Chiu ChuMelissaLiu
Torus Polishchuk Easton 1998
E I ez 12 112 2 WE Idrrdo
I Bt is C Upper half plane r o
Dblcohlee Fuk T wa
Ll txtpicture fromAuemestatks lo s eo
I aArea LI eLo 57 L E
Ei.e2iiSwo
e
-
L XERIZ LxLo si e si Eo
an n
e Ade AreaArea 2THI sZ
j eo si Eo
k k ke e
Lo 57 L E xp
I e2iid eoNEE
OS L EV Gtx
TX E ne.Itzein2 L 2 inx L
etiXZnq.ge
aiTlnzX2degj
line bundles t Lagrangian slope jskyscraper sheaf Vertical Lagrangian
-
Genus two complex curve
I I C Muz E symmetric Im I o
OH x it x thx noneThink
o
n th nzC212M
V 2,2 lXiiX27E FYxnxdnELm.cxi.x
A Tn Nlt TIZNz
x e2aivT FL XD Iz n Izz ha
X1 K2
e2TiV Ii Innit 42M e2Tif2lMtT22n
Vet z ezz vi b EE z2t 22
E T 4 torus
SYZ Mirror symmetry Abouzaid Auroux Katzarkou 2012
Replace e by XEB qg Vex E
-
generic Singular AzYa fiber fiber A's q
VY T4 P43m I Ask
symplecticvo
fibration
way
of
10
Crit Vo GUGU GETCj CR with symplectic area Aj
HMS
it L LIohhh Cohl e
Fukayaf Cannizzo
2002 2019
v v
Fukf.VEU
s ESTE v