Maximal tori in the contactomorphism groups of circle bundles over Hirzebruch surfaces

Eugene Lerman

doi:10.4310/mrl.2003.v10.n1.a13

Maximal tori in the contactomorphism groups of circle bundles over Hirzebruch surfaces

Mathematical Research Letters ◽

10.4310/mrl.2003.v10.n1.a13 ◽

2003 ◽

Vol 10 (1) ◽

pp. 133-144 ◽

Cited By ~ 9

Author(s):

Eugene Lerman

Keyword(s):

Circle Bundles ◽

Maximal Tori ◽

Hirzebruch Surfaces

Download Full-text

Maximal tori in the symplectomorphism groups of Hirzebruch surfaces

Mathematical Research Letters ◽

10.4310/mrl.2003.v10.n1.a12 ◽

2003 ◽

Vol 10 (1) ◽

pp. 125-135 ◽

Cited By ~ 12

Author(s):

Yael Karshon

Keyword(s):

Maximal Tori ◽

Hirzebruch Surfaces

Download Full-text

Double cover K3 surfaces of Hirzebruch surfaces

Advances in Geometry ◽

10.1515/advgeom-2020-0034 ◽

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.

Download Full-text

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

Complex Manifolds ◽

10.1515/coma-2020-0115 ◽

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.

Download Full-text