On the degree of Fano threefolds with canonical Gorenstein singularities
Yuri G. Prokhorov
本文研究具有canonical Gorenstein奇点的Fano三维流形，证明了其度数的严格上界为72。
我们考虑具有canonical Gorenstein奇点的Fano三维流形V。证明了度数-K_V^3≤72的严格界。
We consider Fano threefolds $V$ with canonical Gorenstein singularities. A sharp bound $-K_V^3\le 72$ of the degree is proved.
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We define and calculate the weighted multiplicities of non Gorenstein terminal singularities on threefolds and some quotient singularities. We improve freeness conditions on threefolds.
On Gorenstein Fano toric complete intersections
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Fano threefolds in positive characteristic IV
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本文研究Fano指数≥3的Q-Fano三维流形的理性问题，延续前文研究。
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Fano threefolds in positive characteristic III
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Equivariant unirationality of Fano threefolds
研究有限群在Fano三维簇上作用的单有理性，探讨其等变性质。
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Rank two Weak Fano bundles on Fano threefolds of Picard rank one
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105 families of Fano threefolds in positive characteristic
在正特征代数闭域上，证明光滑Fano三维簇共有105个不可约形变族。
Automorphisms of Fano threefolds of rank 2 and degree 28
本研究针对秩2、次数28的光滑法诺三维簇，明确了其自同构群为有限时的具体结构，填补了该类代数簇自同构群研究的对应空白。
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We classify toric Fano threefolds having at worst terminal singularities such that a rank of a $G$-invariant part of a class group equals one, where $G$ is a group acting on the variety by automorphisms.
In this paper, we prove that the family of $\Bbb Q$-Fano threefolds with Picard number one is birationally unbounded.
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