TILTING CHAINS OF NEGATIVE CURVES ON RATIONAL SURFACES
TILTING CHAINS OF NEGATIVE CURVES ON RATIONAL SURFACES
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有理曲面上负曲线的倾斜链
DOI：
10.1017/nmj.2017.40
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发表时间：
2017
影响因子：
0.8
通讯作者：
D. Ploog
中科院分区：
文献类型：
--
作者：
L. Hille;D. Ploog
我们引入了正则倾斜对象的概念，即部分倾斜对象$T$，它诱导了由$T$生成的交换范畴与$T$的自同态代数上的模范畴之间的等价。给出有理曲面上充分负的有理曲线链，我们构造了一个例外序列，它的泛扩张是一个精确的倾斜对象。对于$(-2)$-曲线链，我们得到了与著名代数上的模的等价。
We introduce the notion of exact tilting objects, which are partial tilting objects $T$ inducing an equivalence between the abelian category generated by $T$ and the category of modules over the endomorphism algebra of $T$ . Given a chain of sufficiently negative rational curves on a rational surface, we construct an exceptional sequence whose universal extension is an exact tilting object. For a chain of $(-2)$ -curves, we obtain an equivalence with modules over a well-known algebra.