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Algebraic Geometry On Fridays - Shin, Yongjoo(KAIST)

posted Apr 8, 2013, 5:55 PM by Jihye Jung   [ updated Apr 8, 2013, 5:56 PM ]
- 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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Jihye Jung,
Apr 8, 2013, 5:56 PM
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