Orthogonal double covers by super-extendable cycles

2002 ◽  
Vol 10 (5) ◽  
pp. 283-293 ◽  
Author(s):  
Christian Bey ◽  
Sven Hartmann ◽  
Uwe Leck ◽  
Volker Leck
Keyword(s):  
Double Covers

Double cover K3 surfaces of Hirzebruch surfaces

2021 ◽  
Vol 21 (2) ◽  
pp. 221-225
Author(s):  
Taro Hayashi
Keyword(s):  
Rational Surface ◽  
K3 Surfaces ◽  
Double Cover ◽  
Double Covering ◽  
Smooth Surfaces ◽  
Branch Locus ◽  
Hirzebruch Surfaces ◽  
Double Covers

Abstract General K3 surfaces obtained as double covers of the n-th Hirzebruch surfaces with n = 0, 1, 4 are not double covers of other smooth surfaces. We give a criterion for such a K3 surface to be a double covering of another smooth rational surface based on the branch locus of double covers and fibre spaces of Hirzebruch surfaces.

scholarly journals Varieties of minimal rational tangents on double covers of projective space

2012 ◽  
Vol 275 (1-2) ◽  
pp. 109-125 ◽  
Author(s):  
Jun-Muk Hwang ◽  
Hosung Kim
Keyword(s):  
Projective Space ◽  
Double Covers

Double Covers of Some Fano Manifolds as Hyperplane Sections

1998 ◽  
Vol 193 (1) ◽  
pp. 93-110
Author(s):  
Antonio Lanteri ◽  
Gianluca Occhetta
Keyword(s):  
Fano Manifolds ◽  
Double Covers ◽  
Hyperplane Sections

scholarly journals Flag Bicolorings, Pseudo-Orientations, and Double Covers of Maps

10.37236/6118 ◽  
2017 ◽  
Vol 24 (1) ◽  
Author(s):  
Hiroki Koike ◽  
Daniel Pellicer ◽  
Miguel Raggi ◽  
Steve Wilson
Keyword(s):  
Double Covers

This paper discusses consistent flag bicolorings of maps, in their own right and as generalizations of orientations and pseudo-orientations. Furthermore, a related doubling concept is introduced, and relationships between these ideas are explored.

scholarly journals Rationally connected rational double covers of primitive Fano varieties

2020 ◽  
Vol Volume 4 ◽  
Author(s):  
Aleksandr V. Pukhlikov
Keyword(s):  
Galois Group ◽  
Rational Maps ◽  
Fano Varieties ◽  
Rationally Connected ◽  
Double Covers

We show that for a Zariski general hypersurface $V$ of degree $M+1$ in ${\mathbb P}^{M+1}$ for $M\geqslant 5$ there are no Galois rational covers $X\dashrightarrow V$ of degree $d\geqslant 2$ with an abelian Galois group, where $X$ is a rationally connected variety. In particular, there are no rational maps $X\dashrightarrow V$ of degree 2 with $X$ rationally connected. This fact is true for many other families of primitive Fano varieties as well and motivates a conjecture on absolute rigidity of primitive Fano varieties. Comment: the final journal version

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