Characterization of projective spaces by Seshadri constants

DOI10.1007/s00209-017-1941-9zbMath1391.14081arXiv1607.05743OpenAlexW3098116695WikidataQ59610958 ScholiaQ59610958MaRDI QIDQ1650166

Ziquan Zhuang, Yuchen Liu

Publication date: 2 July 2018

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.05743

zbMATH Keywords

projective spaceFano varietiesSeshadri constants

Mathematics Subject Classification ID

Special varieties (14M99) Fano varieties (14J45)

Related Items (14)

K-semistable Fano manifolds with the smallest alpha invariant ⋮ Seshadri constants on some Quot schemes ⋮ Seshadri constants on Bott towers ⋮ Fano varieties with large Seshadri constants ⋮ Fano varieties with large Seshadri constants in positive characteristic ⋮ ON THE SHARPNESS OF TIAN’S CRITERION FOR K-STABILITY ⋮ Fano foliations with small algebraic ranks ⋮ Higher codimensional alpha invariants and characterization of projective spaces ⋮ Seshadri constants for vector bundles ⋮ Seshadri constants of the anticanonical divisors of Fano manifolds with large index ⋮ K-stability of Fano varieties: an algebro-geometric approach ⋮ The volume of singular Kähler–Einstein Fano varieties ⋮ Seshadri constants of equivariant vector bundles on toric varieties ⋮ Algebraic hypersurfaces

Cites Work

• Seshadri constants on rational surfaces with anticanonical pencils
• Seshadri constants and the generation of jets
• The topology of normal singularities of an algebraic surface and a criterion for simplicity
• Normal Gorenstein surfaces with ample anti-canonical divisor
• Complex manifolds whose blow-up at a point is Fano
• Elementary contractions of Gorenstein threefolds
• Characterizations of complex projective spaces and hyperquadrics
• Locally Unsplit Families of Rational Curves of Large Anticanonical Degree on Fano Manifolds
• Generalized adjunction and applications
• Introduction
• Note on Characterization of Projective Spaces
• Characterizations of \({\mathbb{P}}^N\) in arbitrary characteristic
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