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Picard schemes of noncommutative bielliptic surfaces

期刊: ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2023; 93 (1)

We study the nontrivial elements in the Brauer group of a bielliptic surface and show that they can be realized as Azumaya algebras with a simple stru......

A Brunn-Minkowski type inequality for extended symplectic capacities of convex domains and length estimate for a class of billiard trajectories

期刊: ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2023; 93 (1)

In this paper, we firstly generalize the Brunn-Minkowski type inequality for Ekeland-Hofer-Zehnder symplectic capacity of bounded convex domains estab......

Isotropicity of surfaces in Lorentzian 4-manifolds with zero mean curvature vector ( nov , 2023 , 10.1007/s12188-023-00272-y)

期刊: ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2023; ()

In this paper, we see that the hypersurfaces L-+/- in Ando (Abh Math Semin Univ Hambg 92:105-123, 2022, Proposition 1) are neutral but not flat. Nonet......

Analytic semi-universal deformations in logarithmic complex geometry

期刊: ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2023; 93 (1)

We show that every compact complex analytic space endowed with a fine logarithmic structure and every morphism between such spaces admit a semi-univer......

An example of Tateno disproving conjectures of Bonato-Tardif, Thomasse, and Tyomkyn

期刊: ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2023; ()

In his 2008 thesis [16] , Tateno claimed a counterexample to the Bonato-Tardif conjecture regarding the number of equimorphy classes of trees. In this......

On curves on Hirzebruch surfaces

期刊: ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2023; 93 (1)

We call a smooth irreducible projective curve a Castelnuovo curve if it admits a birational map into the projective r-space such that the image curve ......

Towards generic base-point-freeness for hyperkahler manifolds of generalized Kummer type

期刊: ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2023; ()

We study base-point-freeness for big and nef line bundles on hyperkahler manifolds of generalized Kummer type: For n is an element of {2, 3, 4}, we sh......

An Unexpected Cyclic Symmetry of Iun

期刊: ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2023; 93 (1)

We find and discuss an unexpected (to us) order n cyclic group of automorphisms of the Lie algebra Iu(n):=u(n) (sic) u*(n), where un is the Lie algebr......

An equivalent to the Riemann hypothesis in the Selberg class

期刊: ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2023; 93 (1)

In 2020 S. M. Gonek, S. W. Graham and Y. Lee formulated the Lindelof hypothesis for prime numbers and proved that it is equivalent to the Riemann Hypo......

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