- Title : Involutions on surfaces of general type with p_g=0
- Speaker : Shin, Yongjoo(KAIST)
- Date & Time : 12 April , 2013 (Fri) 14:00~15:00
- Place : Math Science Building room 404
- Abstract : Let S be a minimal surface of general type with p_g=0 having an involution over
the field of complex numbers. It is well known that if the bicanonical map of S
is composed with the involution then the quotient of S by the involution is
rational or birational to an Enriques surface. In this talk, I explain that for
K_{S}^{2}=5,6,7,8 and an involution for which the bicanonical map of S is
composed with the involution, the quotient of S by the involution is rational.
This result applies in part to surfaces S with K_{S}^{2}=5 for which the
bicanonical map of S has degree 4 and is composed with an involution. Moreover
when the bicanonical map of S is not composed with the involution I consider a
list of the possible models of the quotient of S and their branch divisors
induced by the involution. Surfaces S with K_{S}^{2}=7 for which the quotient of
S by the involution is birational to an Enriques surface are treated in detail.
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