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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Faithful tropicalization of hypertoric varieties

Kutler, Max 06 September 2017 (has links)
The hypertoric variety M_A defined by an arrangement A of affine hyperplanes admits a natural tropicalization, induced by its embedding in a Lawrence toric variety. In this thesis, we explicitly describe the polyhedral structure of this tropicalization and calculate the fibers of the tropicalization map. Using a recent result of Gubler, Rabinoff, and Werner, we prove that there is a continuous section of the tropicalization map.
2

GKZ Hypergeometric Systems and Projective Modules in Hypertoric Category O

Hilburn, Justin 27 October 2016 (has links)
In this thesis I show that indecomposable projective and tilting modules in hypertoric category O are obtained by applying a variant of the geometric Jacquet functor of Emerton, Nadler, and Vilonen to certain Gel'fand-Kapranov-Zelevinsky hypergeometric systems. This proves the abelian case of a conjecture of Bullimore, Gaiotto, Dimofte, and Hilburn on the behavior of generic Dirichlet boundary conditions in 3d N=4 SUSY gauge theories.
3

On an algebro-geometric realization of the cohomology ring of conical symplectic resolutions / 錐的シンプレクティック特異点解消のコホモロジー環の代数幾何学的実現について

Hikita, Tatsuyuki 25 May 2015 (has links)
京都大学 / 0048 / 新制・課程博士 / 博士(理学) / 甲第19166号 / 理博第4106号 / 新制||理||1591(附属図書館) / 32158 / 京都大学大学院理学研究科数学・数理解析専攻 / (主査)准教授 加藤 周, 教授 並河 良典, 教授 雪江 明彦 / 学位規則第4条第1項該当 / Doctor of Science / Kyoto University / DFAM
4

The universal covers of hypertoric varieties and Bogomolov’s decomposition / 超トーリック多様体の普遍被覆とボゴモロフ分解

Nagaoka, Takahiro 23 March 2022 (has links)
京都大学 / 新制・課程博士 / 博士(理学) / 甲第23686号 / 理博第4776号 / 新制||理||1684(附属図書館) / 京都大学大学院理学研究科数学・数理解析専攻 / (主査)教授 並河 良典, 教授 玉川 安騎男, 教授 望月 拓郎 / 学位規則第4条第1項該当 / Doctor of Science / Kyoto University / DFAM

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