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摘要翻译：
我们证明了一个一般定理，它给出了一个在另一个簇Y的导出范畴中存在一个合适的函子允许一个完全例外序列的情形下，簇X的导出自等价群中的一个非平凡关系。应用包括X是Calabi-Yau且X是Y中的超曲面（这推广了作者和R.L.Karp的一个结果，其中Y是一个加权射影空间）或Y是X中的超曲面的情形。
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英文标题：
《Exceptional sequences and derived autoequivalences》
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作者：
Alberto Canonaco
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最新提交年份：
2007
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分类信息：
一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
We prove a general theorem that gives a non trivial relation in the group of derived autoequivalences of a variety (or stack) X, under the assumption that there exists a suitable functor from the derived category of another variety Y admitting a full exceptional sequence. Applications include the case in which X is Calabi-Yau and either X is a hypersurface in Y (this extends a previous result by the author and R.L. Karp, where Y was a weighted projective space) or Y is a hypersurface in X. The proof uses a resolution of the diagonal of Y constructed from the exceptional sequence.
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PDF链接：
https://arxiv.org/pdf/0801.0173
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