Birational properties of pencils of del Pezzo surfaces of degree 1 and 2

Details Birational properties of pencils of del Pezzo surfaces of degree 1 and 2 Birational properties of pencils of del Pezzo surfaces of degree 1 and 2

2000-02-29

arxiv.org/abs/math/0002252v1

Mathematics

Algebraic Geometry

AmsLatex, 22 pages

Scientific paper

We study the birational rigidity problem for smooth Mori fibrations on del
Pezzo surfaces of degree 1 and 2. For degree 1 we obtain a complete description
of rigid and non-rigid cases.

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