More projective geometry associated with unramified double covers of curves of genus four

1985 ◽  
Vol 142 (1) ◽  
pp. 49-55
Author(s):  
Andrea Del Centina
Keyword(s):  
Projective Geometry ◽  
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.

Fuzzy plane projective geometry

1993 ◽  
Vol 54 (2) ◽  
pp. 191-206 ◽  
Author(s):  
K.C. Gupta ◽  
Suryansu Ray
Keyword(s):  
Projective Geometry

scholarly journals Einstein on involutions in projective geometry

2021 ◽  
Author(s):  
Tilman Sauer ◽  
Tobias Schütz
Keyword(s):  
Projective Geometry ◽  
Common Theme ◽  
Infinite Point

AbstractWe discuss Einstein’s knowledge of projective geometry. We show that two pages of Einstein’s Scratch Notebook from around 1912 with geometrical sketches can directly be associated with similar sketches in manuscript pages dating from his Princeton years. By this correspondence, we show that the sketches are all related to a common theme, the discussion of involution in a projective geometry setting with particular emphasis on the infinite point. We offer a conjecture as to the probable purpose of these geometric considerations.

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

Modern Projective Geometry.

1969 ◽  
Vol 76 (10) ◽  
pp. 1168
Author(s):  
Josephine H. Chanler ◽  
Robert J. Bumcrot
Keyword(s):  
Projective Geometry
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