Classifies irreducible components of Kontsevich moduli spaces for genus one stable maps on degree 4 and 5 del Pezzo threefolds and verifies Geometric Manin's conjecture.
Kawamata , Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces
2 Pith papers cite this work. Polarity classification is still indexing.
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Proves optimal Kawamata-Miyaoka inequality for terminal Q-Fano threefolds of index >=3 and derives c1^3 < 3 c2 c1 for all such threefolds.
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Moduli space of genus one curves on quartic and quintic del Pezzo threefolds
Classifies irreducible components of Kontsevich moduli spaces for genus one stable maps on degree 4 and 5 del Pezzo threefolds and verifies Geometric Manin's conjecture.
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Kawamata-Miyaoka-type inequality for $\mathbb Q$-Fano varieties with canonical singularities II: Terminal $\mathbb Q$-Fano threefolds
Proves optimal Kawamata-Miyaoka inequality for terminal Q-Fano threefolds of index >=3 and derives c1^3 < 3 c2 c1 for all such threefolds.