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6 papers · 2 filters
Tannakian duality over Dedekind rings and applications
Nguyen Dai Duong, Phùng Hô Hai
We establish a duality between flat affine group schemes and rigid tensor categories equipped with a neutral fiber functor (called Tannakian lattice), both defined over a Dedekind…
On the fundamental groups of non-generic -join-type curves
Christophe Eyral, Mutsuo Oka
An \emph{-join-type curve} is a curve in defined by an equation of the form \begin{equation*} a\cdot\prod_{j=1}^\ell (y-β_j)^{ν_j} = b\cdot\prod_{i=1}^m…
Calabi--Yau threefolds in
Grzegorz Kapustka, Michal Kapustka
We study the geometry of -codimensional smooth subvarieties of the complex projective space. In particular, we classify all quasi-Buchsbaum Calabi--Yau threefolds in projective…
Transformations on the product of Grassmann spaces
Hans Havlicek, Mark Pankov
We describe all adjacency preserving bijections of certain products of Grassmann spaces.
On Cohen-Macaulay modules over non-commutative surface singularities
Yuriy A. Drozd, Volodymyr S. Gavran
We generalize the results of Kahn about a correspondence between Cohen-Macaulay modules and vector bundles to non-commutative surface singularities. As an application, we give exam…
Secant cumulants and toric geometry
Mateusz Michalek, Luke Oeding, Piotr Zwiernik
We study the secant line variety of the Segre product of projective spaces using special cumulant coordinates adapted for secant varieties. We show that the secant variety is cover…