Toroidal compactification of moduli spaces of K3 surfaces

Date

2023-8-04

Author

Uzun, Ahmed

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The theory of moduli spaces of K3 surfaces, a frequently studied concept in Algebraic Geometry, is very interesting because of its connections in both mathematics and theoretical physics. The compactification of these fascinating spaces has also been the focus of attention of mathematicians for years. In this thesis, we will examine the toroidal compactification of the moduli space of K3 surfaces. After giving the necessary information and important examples about K3 surfaces and their moduli spaces, we introduce the concept of toric variety required for toroidal compactification. Then, we present the definitions in toroidal compactification through a specific example. Finally, we give our main theorem and apply it to the moduli spaces of K3 surfaces.

Subject Keywords

K3 surfaces, Toric varieties, Toroidal Compactification

URI

https://hdl.handle.net/11511/104840

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Graduate School of Natural and Applied Sciences, Thesis