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On the birational boundedness of the bases of elliptically fibered CY's in low dimension Svaldi, Roberto
Description
I will discuss joint work with Gabriele Di Cerbo on boundedness of Calabi-Yau pairs. Given an elliptically fibered Calabi-Yau manifold, the base of the fibration naturally carries the structure of a Calabi-Yau pair, that is, there exists an effective divisor D on the base, with nice singularities, such that K+D=0. Recent works in the minimal model program suggest that rationally connected Calabi-Yau pairs should satisfy some boundedness properties, that is, they should be parametrized by a finite type scheme. I will show that Calabi-Yau pairs which are not birational to a product are indeed log birationally bounded, if the dimension is less than four. In dimension three, we can actually obtain some more general results, by relaxing some of technical assumptions (joint work in progress with Chen, Di Cerbo, Han, Jiang).
Item Metadata
Title |
On the birational boundedness of the bases of elliptically fibered CY's in low dimension
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-01-22T16:14
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Description |
I will discuss joint work with Gabriele Di Cerbo on boundedness of Calabi-Yau pairs.
Given an elliptically fibered Calabi-Yau manifold, the base of the fibration naturally carries the
structure of a Calabi-Yau pair, that is, there exists an effective divisor D on the base, with nice
singularities, such that K+D=0.
Recent works in the minimal model program suggest that rationally connected Calabi-Yau pairs
should satisfy some boundedness properties, that is, they should be parametrized by a finite
type scheme.
I will show that Calabi-Yau pairs which are not birational to a product are indeed log birationally bounded,
if the dimension is less than four.
In dimension three, we can actually obtain some more general results, by relaxing some of technical
assumptions (joint work in progress with Chen, Di Cerbo, Han, Jiang).
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Extent |
49 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Cambridge
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Series | |
Date Available |
2018-07-22
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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 |
10.14288/1.0369008
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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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