Cremona transformations and derived equivalences of K3 surfaces
Cremona transformations and derived equivalences of K3 surfaces
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K3 曲面的克雷莫纳变换和派生等价
DOI：
10.1112/s0010437x18007145
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发表时间：
2018
影响因子：
1.8
通讯作者：
Lai, Kuan-Wen
中科院分区：
文献类型：
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作者：
Hassett, Brendan;Lai, Kuan-Wen
我们展示了一个Cremona变换，使得该映射的基轨迹及其逆是K3曲面的双有理。这两个K3曲面是等价的，但不是同构的。作为应用，我们证明了两个K3曲面的差使Grothendieck簇环中的仿射直线类零化。
We exhibit a Cremona transformation of such that the base loci of the map and its inverse are birational to K3 surfaces. The two K3 surfaces are derived equivalent but not isomorphic to each other. As an application, we show that the difference of the two K3 surfaces annihilates the class of the affine line in the Grothendieck ring of varieties.