Singularities of anticanonical divisors
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filed under:
SFBKolloquium
Liana Heuberger (Nice)
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When 
Jan 07, 2016 from 03:30 pm to 04:30 pm 
Where  Mainz, 05432 (Hilbertraum) 
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Let $X$ be a Fano variety. A result by Shokurov states that in dimension three the linear system $K_X$ is non empty and a general element $D$ in $K_X$ is smooth. In dimension four, one can construct Fano varieties $X$ so that every such $D$ is singular, however we show it has at most terminal singularities. We also determine explicit local equations of $D$ around these points.