# Arima, Ken-ichiro:COE Research Fellow,Algebra

- Keyword(s):
- index one cover, surface singularity, positive characteristic
- Research Interest:
- algebraic geometry
- Research Activities:
- I consider index one covers of purely log terminal pair (S,B) where S is a normal surface over an algebraically closed field and B is a standard boundary. I prove that when S is smooth and the characteristic is not equal 2, then the index one cover is canonical under some conditions. I am also interested in normal surface singularities in characteristic 2 because in this case index one covers have various singularities.