scholarly journals Existence of semistable sheaves on Hirzebruch surfaces

2021 ◽  
Vol 381 ◽  
pp. 107636
Author(s):  
Izzet Coskun ◽  
Jack Huizenga
Keyword(s):  
Hirzebruch Surfaces

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 Topological Formulae for the Zeroth Cohomology of Line Bundles on del Pezzo and Hirzebruch Surfaces

2021 ◽  
Vol 8 (1) ◽  
pp. 223-229
Author(s):  
Callum R. Brodie ◽  
Andrei Constantin ◽  
Rehan Deen ◽  
Andre Lukas
Keyword(s):  
Topological Index ◽  
Line Bundles ◽  
Hirzebruch Surfaces ◽  
Del Pezzo

Abstract We show that the zeroth cohomology of effective line bundles on del Pezzo and Hirzebruch surfaces can always be computed in terms of a topological index.

scholarly journals Analytic torsion of Hirzebruch surfaces

2006 ◽  
Vol 335 (1) ◽  
pp. 221-247 ◽  
Author(s):  
Christophe Mourougane
Keyword(s):  
Analytic Torsion ◽  
Hirzebruch Surfaces

On Galois covers of Hirzebruch surfaces

1996 ◽  
Vol 305 (1) ◽  
pp. 493-539 ◽  
Author(s):  
B. Moishezon ◽  
A. Robb ◽  
M. Teicher
Keyword(s):  
Hirzebruch Surfaces ◽  
Galois Covers

scholarly journals The effect of points fattening on Hirzebruch surfaces

2014 ◽  
Vol 288 (5-6) ◽  
pp. 577-583 ◽  
Author(s):  
Sandra Di Rocco ◽  
Anders Lundman ◽  
Tomasz Szemberg
Keyword(s):  
Hirzebruch Surfaces

Serre problem and Inoue-Hirzebruch surfaces

2001 ◽  
Vol 319 (2) ◽  
pp. 395-420 ◽  
Author(s):  
Dan Zaffran
Keyword(s):  
Hirzebruch Surfaces
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