Zobrazeno 1 - 10
of 257
pro vyhledávání: '"Gleissner, Christian A."'
Autor:
Gleissner, Christian, Kotonski, Julia
We provide a fine classification of rigid three-dimensional torus quotients with isolated canonical singularities, up to biholomorphism and diffeomorphism. This complements the classification of Calabi-Yau 3-folds of type $\rm{III}_0$, which are thos
Externí odkaz:
http://arxiv.org/abs/2409.01050
In this first part we describe the group $Aut_{\mathbb{Z}}(S)$ of cohomologically trivial automorphisms of a properly elliptic surface (a minimal surface $S$ with Kodaira dimension $\kappa(S)=1$), in the initial case $ \chi(\mathcal{O}_S) =0$. In par
Externí odkaz:
http://arxiv.org/abs/2408.16936
We discuss rigid compact complex manifolds of Kodaira dimension 1, arising as product-quotient varieties. First, we show that there is no free rigid action on the product of $(n-1)$ elliptic curves and a curve of genus at least two. Then, we describe
Externí odkaz:
http://arxiv.org/abs/2212.05859
A semi-projective representation is a homomorphism of a finite group into the group of semi-projective transformations of a finite dimensional vector space over a field. Schur's concept of a representation group for projective representations is exte
Externí odkaz:
http://arxiv.org/abs/2211.14059
In this note we present examples of complex algebraic surfaces of general type with canonical maps of degree $10$, $11$ and $14$. They are constructed as quotients of a product of two Fermat septics using certain free actions of the group $\mathbb Z_
Externí odkaz:
http://arxiv.org/abs/2207.02969
Autor:
Gleißner, Christian, Kotonski, Julia
We provide a fine classification of Gorenstein quotients of three-dimensional abelian varieties with isolated singularities, up to biholomorphism and homeomorphism. This refines a result of Oguiso and Sakurai about fibred Calabi-Yau threefolds of typ
Externí odkaz:
http://arxiv.org/abs/2204.01414
We provide a fine classification of rigid hyperelliptic manifolds in dimension four up to biholomorphism and diffeomorphism. These manifolds are explicitly described as finite \'etale quotients of a product of four Fermat elliptic curves.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/2201.08138
For each $n\geq 3$ we give examples of infinitesimally rigid projective manifolds of general type of dimension $n$ with non-contractible universal cover. We provide examples with projective and examples with non-projective universal cover.
Comme
Comme
Externí odkaz:
http://arxiv.org/abs/2104.06775
Autor:
Bauer, Ingrid, Gleissner, Christian
In this paper the authors study quotients of the product of elliptic curves by a rigid diagonal action of a finite group $G$. It is shown that only for $G = \operatorname{He(3)}, \mathbb Z_3^2$, and only for dimension $\geq 4$ such an action can be f
Externí odkaz:
http://arxiv.org/abs/2101.06925
Autor:
Bauer, Ingrid, Gleissner, Christian
For each $n \geq 3$ the authors provide an $n$-dimensional rigid compact complex manifold of Kodaira dimension $1$. First they construct a series of singular quotients of products of $(n-1)$ Fermat curves with the Klein quartic, which are rigid. Then
Externí odkaz:
http://arxiv.org/abs/1912.09973