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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On birational morphisms between pencils of Del Pezzo surfaces


Author: Vitaly Vologodsky
Journal: Proc. Amer. Math. Soc. 129 (2001), 2227-2234
MSC (2000): Primary 14E05; Secondary 14E30, 14E35
Published electronically: February 2, 2001
MathSciNet review: 1823904
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Abstract:

Let $X/S$ and $X'/S'$ be two Del Pezzo fibrations of degrees $d$, $d'$ respectively. Assume that $X$ and $X'$ differ by a flop. Then we prove that $d=d'$ and give a short list of values of other basic numerical invariants of $X$ and $X'$.


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Additional Information

Vitaly Vologodsky
Affiliation: Department of Mathematics, University of Georgia, Athens, Georgia 30602
Email: vologods@math.uga.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-01-05905-6
PII: S 0002-9939(01)05905-6
Received by editor(s): May 27, 1998
Received by editor(s) in revised form: December 23, 1999
Published electronically: February 2, 2001
Communicated by: Ron Donagi
Article copyright: © Copyright 2001 American Mathematical Society