@PhdThesis{duepublico_mods_00070523,
  author = 	{Gora, Felix},
  title = 	{Local models, Mustafin varieties and semi-stable resolutions},
  year = 	{2019},
  month = 	{Oct},
  day = 	{02},
  keywords = 	{Local models; Mustafin varieties},
  abstract = 	{In this thesis we will analyse singularities of local models. More precisely we will attack the question of existence of semi-stable resolutions. We will discuss an approach mentioned in [Gen00]. In this approach a candidate for a semi-stable resolution was given as the blow-up of a Grassmannian variety in Schubert varieties of its special fiber. Explicit calculations with Sage described in Appendix D show that this approach is not working in general. Starting from the proof of flatness of the local models in [G{\"o}r01], we describe these local models as Mustafinvarieties over Grassmannian varieties. We are combining several results on the structure of Mustafin varieties over projective spaces (cf. [CHSW11],[AL17]) with the Pl{\"u}cker embedding to be able to construct a candidate for a semi-stable resolution of local models. Under some additional assumptions this candidate is generalising the approach suggested by Genestier. Furthermore under the same assumptions the new candidate agrees with the semi-stable resolution constructed in [G{\"o}r04] for small dimensions.},
  doi = 	{10.17185/duepublico/70523},
  url = 	{https://duepublico2.uni-due.de/receive/duepublico_mods_00070523},
  url = 	{https://doi.org/10.17185/duepublico/70523},
  file = 	{:https://duepublico2.uni-due.de/servlets/MCRFileNodeServlet/duepublico_derivate_00070524/Diss_Gora.pdf:PDF},
  language = 	{en}
}