论文标题

关于FANO纤维的半三相分解的注释

A note on semiorthogonal decompositions for Fano fibrations

论文作者

Núñez, Pedro

论文摘要

FANO纤维纤维自然出现在代数品种的异性分类中。我们表明,这些形态始终在纤维空间的派生类别上引起半三相分解,从而将诸如Orlov的投影束公式等经典结果扩展到了非固定和奇异的情况。

Fano fibrations arise naturally in the birational classification of algebraic varieties. We show that these morphisms always induce a semiorthogonal decomposition on the derived category of the fibred space, extending classic results such as Orlov's projective bundle formula to the non-flat and singular case.

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