On birational morphisms between pencils of Del Pezzo surfaces
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- by Vitaly Vologodsky PDF
- Proc. Amer. Math. Soc. 129 (2001), 2227-2234 Request permission
Abstract:
Let $X/S$ and $Xā/Sā$ be two Del Pezzo fibrations of degrees $d$, $dā$ respectively. Assume that $X$ and $Xā$ differ by a flop. Then we prove that $d=dā$ and give a short list of values of other basic numerical invariants of $X$ and $Xā$.References
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Additional Information
- Vitaly Vologodsky
- Affiliation: Department of Mathematics, University of Georgia, Athens, Georgia 30602
- Email: vologods@math.uga.edu
- 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
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 2227-2234
- MSC (2000): Primary 14E05; Secondary 14E30, 14E35
- DOI: https://doi.org/10.1090/S0002-9939-01-05905-6
- MathSciNet review: 1823904