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There are many results characterizing when derived categories of two complex surfaces are equivalent, including theorems of Bridgeland and Maciocia showing that derived equivalent Enriques or bielliptic surfaces must be isomorphic. The proofs of these theorems strongly use Torelli theorems and lattice-theo...
The proofs of Theorems 1 and 2 are reported in “Appendix” Sect. A. Theorem 1 can be used to prove the convergence of the elementary programs that specify matrix operations in Sect. 3.1 and the convergence of the WL algorithm that we shall see in Sect. 4.2. Theorem 2 ensures the conve...
As the proofs of the results are similar for both norms, we only will prove them when Lip ( [ 0 , 1 ] ) is provided with the σ -norm. We first give a representation of the elements of the topological reflexive closure of the isometry group of Lip ( [ 0 , 1 ] ) . Theorem 2...