Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 15 of 15 for “"toric varieties"”.
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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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Descent Systems, Eulerian Polynomials and Toric Varieties
… give the Betti numbers for certain smooth toric varieties associated with the permutohedra. In this thesis we derive recurrences for the h-vectors of a family of polytopes generalizing this. The simple polytopes we consider arise as the orbit of a non-generic weight, namely a weight fixed …
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Fibered Calabi -Yau Varieties and Toric Varieties
… to write weighted projective space bundles as toric varieties. We then find necessary and sufficient conditions for the anti-canonical linear systems of these bundles to have quasi-smooth members. These quasi-smooth members are Calabi-Yau varieties over the base whose general fiber is also a …
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The intersection homology with twisted coefficients of toric varieties
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1991.
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Characteristics cycles of toric varieties : perverse sheaves on rank stratifications
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1995.
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Characterizing the properties of specific binomial coefficients in congruence relations
… set. Wilfong conjectures that smooth projective toric varieties can act as these generators [7]. Toric varieties are related to polytopes by a bijective correspondence. Studying the combinatorial structure of these polytopes is much more manageable than studying properties of toric varieties …
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Toric mirror symmetry and GIT windows
… joint work [HZ20], studies mirror symmetry for toric varieties from the perspective of geometric invariant theory. We translate GIT constructions of toric varieties into skeletal terms and study them in the context of wrapped Fukaya categories and wrapped constructible sheaves. We explain how …
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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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Singularities of the Perfect Cone Compactification
… moduli space of principally polarised abelian varieties, the object taken into consideration consists of the perfect cone (also known as first Voroni) compactification of arithmetic quotients of type IV domains. These are of importance in the context of algebraic geometry because they are used …
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On affine embeddings of reductive groups
… groups. We might guess that as in the case of toric varieties, some specific subset of one-parameter subgroups may contribute to the classification of affine embeddings of general reductive group. To check this, we review the theory of affine normal SL(2)-embeddings, and prove that the …
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Logarithmic Gromov-Witten theory and double ramification cycles
… concern the logarithmic enumerative geometry of toric varieties and its interactions with the moduli space of curves. In the first paper (joint work with Dhruv Ranganathan), we prove that the logarithmic Gromov-Witten cycles of a toric variety endowed with its toric log structure lie in the …
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Spectral properties of Kähler quotients
… the coefficients in the asymptotic expansion for toric varieties. It turns out that the upstairs spectral measure in this case is described by an interesting integral transform which we will call the twisted Mellin transform. We will study both analytic and combinatorial aspects of this transform …
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Geometric quantization and dynamical constructions on the space of Kähler metrics
… metrics sitting inside it? We restrict to toric varieties and prove the following result: Given a compact Riemannian manifold with boundary and a smooth map from its boundary into the space of toric Kähler metrics there exists a harmonic map from the manifold with these boundary values and, …
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Gauged Linear Sigma Model and Mirror Symmetry
… can systematically produce the (0,2) mirrors of toric varieties and the results are consistent with existing examples which were produced by laborious guesswork. The last chapter briefly discusses some directions that the author would like to pursue in the future.
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Derived categories of coherent sheaves on rational homogeneous manifolds
… existence of complete exceptional sequences on toric varieties. Starting point of the present work is a conjecture of F. Catanese which says that on every rational homogeneous manifold $X=G/P$, where $G$ is a connected complex semisimple Lie group and $P\subset G$ a parabolic subgroup, there …