Construction of rational surfaces of degree $12$ in projective fourspace
Authors:
Hirotachi Abo and Kristian Ranestad
Journal:
J. Algebraic Geom. 15 (2006), 323-338
DOI:
https://doi.org/10.1090/S1056-3911-06-00424-3
Published electronically:
January 11, 2006
MathSciNet review:
2199063
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References |
Additional Information
Abstract: The aim of this paper is to present a construction of smooth rational surfaces in projective fourspace with degree $12$ and sectional genus $13$. In particular, we establish the existences of five different families of smooth rational surfaces in projective fourspace with the prescribed invariants.
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Additional Information
Hirotachi Abo
Affiliation:
Department of Mathematics, Colorado State University, Fort Collins, Colorado 80523
MR Author ID:
614361
Email:
abo@math.colostate.edu
Kristian Ranestad
Affiliation:
Matematisk Institutt, Universitetet i Oslo, P.b.1053 Blindern, N-0316 Oslo 3, Norway
Email:
ranestad@math.uio.no
Received by editor(s):
November 8, 2004
Received by editor(s) in revised form:
July 1, 2005, and July 6, 2005
Published electronically:
January 11, 2006
