iitaka dimension
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Notions of numerical Iitaka dimension do not coincide

Journal of Algebraic Geometry ◽

10.1090/jag/763 ◽

2021 ◽

pp. 1

Author(s):

John Lesieutre

Keyword(s):

Iitaka Dimension

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Automorphisms of the Hilbert schemes of n points of a rational surface and the anticanonical Iitaka dimension

Geometriae Dedicata ◽

10.1007/s10711-019-00504-7 ◽

2020 ◽

Vol 207 (1) ◽

pp. 395-407

Author(s):

Taro Hayashi

Keyword(s):

Rational Surface ◽

Hilbert Schemes ◽

Iitaka Dimension

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Iitaka dimension for cycles

Transactions of the American Mathematical Society ◽

10.1090/tran/7491 ◽

2018 ◽

Vol 371 (7) ◽

pp. 4815-4835

Author(s):

Brian Lehmann

Keyword(s):

Iitaka Dimension

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On volumes along subvarieties of line bundles with nonnegative Kodaira-Iitaka dimension

The Michigan Mathematical Journal ◽

10.1307/mmj/1301586302 ◽

2011 ◽

Vol 60 (1) ◽

pp. 35-49

Author(s):

Gianluca Pacienza ◽

Shigeharu Takayama

Keyword(s):

Line Bundles ◽

Iitaka Dimension

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Cox rings of surfaces and the anticanonical Iitaka dimension

Advances in Mathematics ◽

10.1016/j.aim.2011.01.007 ◽

2011 ◽

Vol 226 (6) ◽

pp. 5252-5267 ◽

Author(s):

Michela Artebani ◽

Antonio Laface

Keyword(s):

Cox Rings ◽

Iitaka Dimension

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Some inequalities for Kodaira–Iitaka dimension on subvarieties

manuscripta mathematica ◽

10.1007/s00229-010-0344-6 ◽

2010 ◽

Vol 132 (1-2) ◽

pp. 221-246

Author(s):

Travis Kopp

Keyword(s):

Iitaka Dimension

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On numerically effective log canonical divisors

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/s0161171202012450 ◽

2002 ◽

Vol 30 (9) ◽

pp. 521-531 ◽

Author(s):

Shigetaka Fukuda

Keyword(s):

Complex Numbers ◽

Canonical Divisor ◽

Log Canonical ◽

Iitaka Dimension

Let(X,Δ)be a4-dimensional log variety which is proper over the field of complex numbers and with only divisorial log terminal singularities. The log canonical divisorKX+Δis semiample, if it is numerically effective (NEF) and the Iitaka dimensionκ(X,KX+Δ)is strictly positive. For the proof, we use Fujino's abundance theorem for semi-log canonical threefolds.

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