Classification of Mukai pairs with dimension $4$ and rank $2$

DOI10.1090/tran/7824zbMath1445.14062arXiv1806.07587OpenAlexW2963767857MaRDI QIDQ5241510

Akihiro Kanemitsu

Publication date: 31 October 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.07587

zbMATH Keywords

vector bundleFano manifoldMukai pair

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) (4)-folds (14J35) Fano varieties (14J45) (n)-folds ((n>4)) (14J40)

Related Items (4)

The movable cone of Calabi-Yau threefolds in ruled Fano manifolds ⋮ The movable cone of certain Calabi-Yau threefolds of Picard number two ⋮ On the Abuaf-Ueda flop via non-commutative crepant resolutions ⋮ Mukai pairs and simple \(K\)-equivalence

Cites Work

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• \(\mathbb{P}^1\)-bundles admitting another smooth morphism of relative dimension one
• On a conjecture of Mukai
• On Fano manifolds of large index
• A characterization of \({\mathbb{P}}_ n\) by vector bundles
• On ample vector bundles whose adjunction bundles are not numerically effective
• Fano fivefolds of index two with blow-up structure
• Classification of projective varieties of \(\Delta\)-genus one
• Projective manifolds with ample tangent bundles
• Stable reflexive sheaves
• On polarized varieties of small Delta-genera
• Fano manifolds and vector bundles
• Rational connectedness and boundedness of Fano manifolds
• Ladders on Fano varieties
• Two theorems on elementary contractions
• Fano bundles and splitting theorems on projective spaces and quadrics
• A note on nonvanishing and applications
• Fano manifolds and quadric bundles
• Generalized Mukai conjecture for special Fano varieties
• A note on the classification of Fano manifolds of middle index
• On Euler-Jaczewski sequence and Remmert-Van de Ven problem for toric varieties
• Classification of Mukai pairs with corank $3$
• Characterizations of complex projective spaces and hyperquadrics
• THE CONE OF CURVES OF FANO VARIETIES OF COINDEX FOUR
• A Characterization of Products of Projective Spaces
• Ruled Fano fivefolds of index two
• Generalized adjunction and applications
• Biregular classification of Fano 3-folds and Fano manifolds of coindex 3
• AMPLE VECTOR BUNDLES ON FANO MANIFOLDS
• Ruled Fano 4-Folds of Index 2
• Existence of good divisors on Mukai varieties
• On Banica sheaves and Fano manifolds
• Numerical characterisation of quadrics
• On contractions of extremal rays of Fano manifolds.

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