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Numerical dimension revisited Lesieutre, John
Description
The Iitaka dimension of a line bundle D on a projective variety X is the dimension of the image of the rational map given by |mD| for large and divisible m. The Iitaka dimension is not a numerical invariant of D, and there are several approaches to constructing a "numerical dimension", which should be an analogous invariant depending only on the numerical class of D. I will discuss some divisors of dynamical origin that have unexpected behavior with respect to these invariants.
Item Metadata
Title |
Numerical dimension revisited
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-11-13T10:31
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Description |
The Iitaka dimension of a line bundle D on a projective variety X is the dimension of the image of the rational map given by |mD| for large and divisible m. The Iitaka dimension is not a numerical invariant of D, and there are several approaches to constructing a "numerical dimension", which should be an analogous invariant depending only on the numerical class of D. I will discuss some divisors of dynamical origin that have unexpected behavior with respect to these invariants.
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Extent |
56.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: The Pennsylvania State University
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Series | |
Date Available |
2020-09-11
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0394315
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Researcher
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International