Global ETD Search
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Showing 1 to 5 of 5 for “"Toric Geometry"”.
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Equivariant Embeddings of Algebraic Groups
… in affine varieties, generalizing results from toric geometry to connected reductive groups. In particular, we show that an embedding is determined by the set of one-parameter subgroups that have a limit in the embedding. We then investigate the structure of such sets of one-parameter subgroups …
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Techniques in interpolation problems
… problem goes back to the origin of algebraic geometry and is still far from being solved. We approach it using algebraic geometry techniques, by systematically exploiting degenerations of the projective plane. Degenerating the plane into a union of planes we prove the planar case of the …
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Toric Varieties Associated with Moduli Spaces
… to study the cohomology of associated toric varieties. While we are able to make use of the work of Danilov to obtain the integral (rational) cohomology ring in the smooth (orbifold) case, we show that the aforementioned toric varieties almost always possess singularities worse than …
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Complete Mirror Pairs and Their Naive Stringy Hodge Numbers
… in Gorenstein Fano</p><p>toric varieties $(X_\Delta,X_\nabla)$. These Calabi-Yau varieties are singular</p><p>in general. Batyrev and Nill have developed a generating function $\Est$ for the</p><p>stringy Hodge numbers of Batyrev-Borisov mirror pairs. This function …
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Splines on polytopal complexes
… algebra, homological algebra, and algebraic geometry~\cite{Homology}, but focused primarily on the simplicial case. This thesis details a number of results that can be obtained using this algebraic perspective, particularly for splines over subdivisions by convex polytopes. The first three …