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pro vyhledávání: '"Demleitner, Andreas"'
We explicitly describe the Albanese morphism of a hyperelliptic variety, i.e., the quotient $X$ of an abelian variety $A$ by a finite group $G$ acting freely and not only by translations, by giving a description of the Albanese variety and the Albane
Externí odkaz:
http://arxiv.org/abs/2411.14814
Autor:
Demleitner, Andreas
Hyperelliptic manifolds are natural generalizations of hyperelliptic surfaces in dimensions. We provide a full classification of the groups, which arise as the holonomy group of a 4-dimensional hyperelliptic manifold. The classification is mostly bas
Externí odkaz:
http://arxiv.org/abs/2211.07998
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
We complete the classification of hyperelliptic threefolds, describing in an elementary way the hyperelliptic threefolds with group $D_4$. These are algebraic and form an irreducible 2-dimensional family. Our paper is fully self-contained.
Comme
Comme
Externí odkaz:
http://arxiv.org/abs/1812.09754
We give a simple construction for the hyperelliptic threefolds with group $D_4$, thus completing the classification of hyperelliptic threefolds.
Comment: 4 pages
Comment: 4 pages
Externí odkaz:
http://arxiv.org/abs/1805.01835
In this note we give a detailed proof of a result (sketched by Torsten Ekedahl in a discussion with the first author several years ago), describing complex tori admitting a rigid group action and showing explicitly their projectivity and their struct
Externí odkaz:
http://arxiv.org/abs/1711.05545
Autor:
Demleitner, Andreas
A Bagnera-de Franchis variety $X = A/G$ is the quotient of an abelian variety $A$ by a free action of a finite cyclic group $G \subset Bihol(A)$, which does not contain only translations. Constructing explicit polarizations and using a method introdu
Externí odkaz:
http://arxiv.org/abs/1604.07678
Publikováno v:
Annali di Matematica Pura ed Applicata; Jun2023, Vol. 202 Issue 3, p1425-1450, 26p
Autor:
Demleitner, Andreas
Hyperelliptic surfaces arise classically in the Enriques-Kodaira classification of compact complex surfaces as the surfaces S, which are uniquely determined through the invariants kod(S) = 0, p_g(S) = 1, q(S) = 0 and 12K_S \equiv 0. Due to the work o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a39c4d119ca722a4cf3c494f93fbb8d7