• An embedding of the unit ball that does not embed into a Loewner chain 

      Fornæss, John Erik; Wold, Erlend Fornæss (Journal article; Peer reviewed, 2019)
      We construct a holomorphic embedding ϕ:B3→C3 such that ϕ(B3) is not Runge in any strictly larger domain. As a consequence, S≠S1 for n=3.
    • Asymptotic behavior of Ext for pairs of modules of large complexity over graded complete intersections 

      Jorgensen, David A.; Şega, Liana M.; Thompson, Peder (Journal article; Peer reviewed, 2022)
    • Bounding the log-derivative of the zeta-function 

      Chirre, Andrés; Gonçalves, Felipe (Peer reviewed; Journal article, 2021)
      Assuming the Riemann hypothesis we establish explicit bounds for the modulus of the log-derivative of Riemann’s zeta-function in the critical strip.
    • The category of extensions and a characterisation of n-exangulated functors 

      Bennett-Tennenhaus, Raphael; Haugland, Johanne; Sandøy, Mads Hustad; Shah, Amit (Peer reviewed; Journal article, 2023)
      Additive categories play a fundamental role in mathematics and related disciplines. Given an additive category equipped with a biadditive functor, one can construct its category of extensions, which encodes important ...
    • Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains 

      Bracci, Filippo; Fornæss, John Erik; Wold, Erlend Fornæss (Journal article; Peer reviewed, 2018)
      We prove that for a strongly pseudoconvex domain D ⊂ C n , the infinitesimal Carath´eodory metric gC (z, v) and the infinitesimal Kobayashi metric gK(z, v) coincide if z is sufficiently close to bD and if v is sufficiently ...
    • Composition operators and embedding theorems for some function spaces of Dirichlet series 

      Bayart, Frederic; Brevig, Ole Fredrik (Journal article; Peer reviewed, 2019)
      We observe that local embedding problems for certain Hardy and Bergman spaces of Dirichlet series are equivalent to boundedness of a class of composition operators. Following this, we perform a careful study of such ...
    • Examples of non-algebraic classes in the Brown-Peterson tower 

      Quick, Gereon (Journal article; Peer reviewed, 2018)
      For every n≥0 , we construct classes in the Brown–Peterson cohomology BP⟨n⟩ of smooth projective complex algebraic varieties which are not in the image of the cycle map from the corresponding motivic Brown–Peterson ...
    • ∞ -Operads via symmetric sequences 

      Haugseng, Rune (Peer reviewed; Journal article, 2021)
      We construct a generalization of the Day convolution tensor product of presheaves that works for certain double \infty -categories. Using this construction, we obtain an \infty -categorical version of the well-known ...
    • Separable equivalences, finitely generated cohomology and finite tensor categories 

      Bergh, Petter Andreas (Peer reviewed; Journal article, 2023)
      We show that finitely generated cohomology is invariant under separable equivalences for all algebras. As a result, we obtain a proof of the finite generation of cohomology for finite symmetric tensor categories in ...
    • Support varieties—an axiomatic approach 

      Buan, Aslak Bakke; Krause, Henning; Snashall, Nicole; Solberg, Øyvind (Journal article; Peer reviewed, 2019)
      We provide an axiomatic approach for studying support varieties of objects in a triangulated category via the action of a tensor triangulated category, where the tensor product is not necessarily symmetric. This is illustrated ...
    • Weighted approximation in C 

      Fornæss, John Erik; Wu, Jujie (Journal article; Peer reviewed, 2019)
      We prove that if {φj}j is a sequence of subharmonic functions which are increasing to some subharmonic function φ in C , then the union of all the weighted Hilbert spaces H(φj) is dense in the weighted Hilbert ...