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Universität Tübingen

1. Braun, Lukas Maximilian. Quotient Presentations of Mori Dream Spaces .

Degree: 2020, Universität Tübingen

In the present thesis, we investigate quotient presentations of Mori Dream Spaces. In the first part, we show that varieties of Fano type and klt quasicones have finite iteration of Cox rings with factorial canonical master Cox ring. The variety can be presented as a quotient of the maximal spectrum of this ring by a solvable reductive group. The second part aims to present such factorial canonical rings as invariant rings of the special linear group over the complex numbers. We develop several algorithms to compute such invariants. In particular, we determine invariants in dimensions four and five for arbitrary sums of fundamental representations. Moreover, we complete the classification of complete intersection invariant rings of the special linear group. In the third part of the thesis, we classify compound du Val and canonical threefold singularities with a good two-torus action and we determine their tree of Cox ring iterations. In the last part, we give an outlook of how these different quotient presentations can possibly be combined. Advisors/Committee Members: Hausen, J├╝rgen (Prof. Dr.) (advisor).

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Braun, L. M. (2020). Quotient Presentations of Mori Dream Spaces . (Thesis). Universität Tübingen. Retrieved from http://hdl.handle.net/10900/97666

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Braun, Lukas Maximilian. “Quotient Presentations of Mori Dream Spaces .” 2020. Thesis, Universität Tübingen. Accessed February 28, 2020. http://hdl.handle.net/10900/97666.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Braun, Lukas Maximilian. “Quotient Presentations of Mori Dream Spaces .” 2020. Web. 28 Feb 2020.

Vancouver:

Braun LM. Quotient Presentations of Mori Dream Spaces . [Internet] [Thesis]. Universität Tübingen; 2020. [cited 2020 Feb 28]. Available from: http://hdl.handle.net/10900/97666.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Braun LM. Quotient Presentations of Mori Dream Spaces . [Thesis]. Universität Tübingen; 2020. Available from: http://hdl.handle.net/10900/97666

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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