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dc.contributor.author Bonsangue, Jennifer en
dc.date.accessioned 2011-07-29T21:21:54Z en
dc.date.available 2011-07-29T21:21:54Z en
dc.date.issued 2011-07 en
dc.identifier.uri http://hdl.handle.net/10139/4873 en
dc.description.abstract A cubic surface is defined as the set of zeroes of a homogeneous polynomial f of degree three in three-dimensional real projective space given by S = {(x : y : z : w) ∈ P³(R)| f (x, y, z, w) = 0}. The geometric classification of these objects remains an unsolved problem. Ideally, such a classification would incorporate information about the notable geometric properties of each surface, yet be general enough to encompass all cubic surfaces succinctly. Using new visualization tools, we review and develop methods to identify several of these properties; namely, the symmetry exhibited by a surface, the real valued lines on a surface, and the presence and number of singular points on a surface. We also experiment with the effect that deformation of the surface has on these properties, with the goal of studying their stability under such deformation. en
dc.language.iso en_US en
dc.rights All rights reserved to author and California State University Channel Islands en
dc.subject Cubic surface en
dc.subject Visualize en
dc.subject Properties en
dc.subject Classify en
dc.subject Mathematics thesis en
dc.title Visualizing Cubic Algebraic Surfaces en
dc.type Thesis en

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