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 Double covers of Pn as very ample divisors

1995 ◽  
Vol 137 ◽  
pp. 1-32 ◽  
Author(s):  
Antonio Lanteri ◽  
Marino Palleschi ◽  
Andrew J. Sommese
Keyword(s):  
Hyperelliptic Curve ◽  
Double Cover ◽  
General Question ◽  
The Third ◽  
Double Covers ◽  
Classical Subject ◽  
Hyperplane Sections ◽  
Ample Divisors

The classical subject of surfaces containing a hyperelliptic curve (here a double cover of P1) among their hyperplane sections was settled some years ago by the third author and Van de Ven [SV] (see also [Se], [Io]). This paper is devoted to answering the following general question arising very naturally from that problem.

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

The Lefschetz Theorem on Hyperplane Sections

1959 ◽  
Vol 69 (3) ◽  
pp. 713 ◽  
Author(s):  
Aldo Andreotti ◽  
Theodore Frankel
Keyword(s):  
Lefschetz Theorem ◽  
Hyperplane Sections

Estimation of Ricci tensor on certain Fano manifolds

2000 ◽  
Vol 233 (3) ◽  
pp. 481-505 ◽  
Author(s):  
Adnène Ben Abdesselem ◽  
Pascal Cherrier
Keyword(s):  
Ricci Tensor ◽  
Fano Manifolds
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