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Construction of rational surfaces of degree $ 12$ in projective fourspace

Author(s): Hirotachi Abo; Kristian Ranestad
Journal: J. Algebraic Geom. 15 (2006), 323-338.
Posted: January 11, 2006
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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

PII: S 1056-3911(06)00424-3
Received by editor(s): November 8, 2004
Received by editor(s) in revised form: July 1, 2005 and July 6, 2005
Posted: January 11, 2006

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