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Implicitization of tensor product surfaces in the presence of a generic set of base-points Duarte, Eliana
Description
A tensor product surface is the image of a map \(\lambda : \mathbb{P}^1\times \mathbb{P}^1 \rightarrow \mathbb{P}^3\), such surfaces arise in geometric modeling and in this context it is important to know their implicit equation. The goal for this talk is to explain how the implicitization problem for tensor product surfaces can be solved using syzygies and illustrate how the geometry of the base locus of \(\lambda\) determines the syzygies that are used to compute the implicit equation.
Item Metadata
Title |
Implicitization of tensor product surfaces in the presence of a generic set of base-points
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-08-09T15:16
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Description |
A tensor product surface is the image of a map \(\lambda : \mathbb{P}^1\times \mathbb{P}^1 \rightarrow \mathbb{P}^3\), such surfaces arise in geometric modeling and in this context it is important to know their implicit equation. The goal for this talk is to explain how the implicitization problem for tensor product surfaces can be solved using syzygies and illustrate how the geometry of the base locus of \(\lambda\) determines the syzygies that are used to compute the implicit equation.
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Extent |
34 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Illinois Urbana-Champaig
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Series | |
Date Available |
2017-02-07
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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 |
10.14288/1.0342690
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Graduate
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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