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dc.contributor.author Bonsangue, Jennifer
dc.date.accessioned 2011-07-29T21:21:54Z
dc.date.available 2011-07-29T21:21:54Z
dc.date.issued 2011-07
dc.identifier.uri http://hdl.handle.net/10139/4873
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_US
dc.language.iso en_US en_US
dc.rights All rights reserved to author and California State University Channel Islands en_US
dc.subject Cubic surface en_US
dc.subject Visualize en_US
dc.subject Properties en_US
dc.subject Classify en_US
dc.subject Mathematics thesis en_US
dc.title Visualizing Cubic Algebraic Surfaces en_US
dc.type Thesis en_US


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