Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 
 

 

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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Abstract | 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
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

DOI: https://doi.org/10.1090/S1056-3911-06-00424-3
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

American Mathematical Society