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Non-rational divisors over non-Gorenstein terminal singularities | D. A. Stepanov
; | Date: |
26 Oct 2004 | Subject: | Algebraic Geometry MSC-class: 14J45 | math.AG | Abstract: | Let $(X,o)$ be a germ of a 3-dimensional terminal singularity of index $mgeq 2$. If $(X,o)$ has type cAx/4, cD/3-3, cD/2-2, or cE/2, then assume that the standard equation of $X$ in $mathbb{C}^4/mathbb{Z}_m$ is non-degenerate with respect to its Newton diagram. Let $picolon Y o X$ be a resolution. We show that there are not more than 2 non-rational divisors $E_i$, $i=1,2$, on $Y$ such that $pi(E_i)=o$ and discrepancy $a(E_i,X)leq 1$. When such divisors exist, we describe them as exceptional divisors of certain blowups of $X$ and study their birational type. | Source: | arXiv, math.AG/0410547 | Services: | Forum | Review | PDF | Favorites |
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