Geodesic
Mutations of fake weighted projective spaces
Tom Coates1 ; Samuel Gonshaw1 ; Alexander Kasprzyk1 ; Navid Nabijou1
1Imperial College London
The electronic journal of combinatorics, Tome 21 (2014) no. 4
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We characterise mutations between fake weighted projective spaces, and give explicit formulas for how the weights and multiplicity change under mutation. In particular, we prove that multiplicity-preserving mutations between fake weighted projective spaces are mutations over edges of the corresponding simplices. As an application, we analyse the canonical and terminal fake weighted projective spaces of maximal degree.
DOI : 10.37236/4288
Classification : 52B20, 14J33, 14J45
Mots-clés : lattice polytopes, mutations, cluster transformations, mirror symmetry, Fano varieties, canonical singularities, terminal singularities, projective space

Tom Coates  1   ; Samuel Gonshaw  1   ; Alexander Kasprzyk  1   ; Navid Nabijou  1

1 Imperial College London 
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Tom Coates; Samuel Gonshaw; Alexander Kasprzyk; Navid Nabijou. Mutations of fake weighted projective spaces. The electronic journal of combinatorics, Tome 21 (2014) no. 4. doi: 10.37236/4288

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