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math.AG2000
Gorenstein models of del Pezzo surfaces of degree 1 over Dedekind schemes
Mikhail Grinenko
Let R be a Dedekind scheme, its generic point, X and V del Pezzo surfaces of degree 1 over R that are Gorenstein Mori fiber spaces (as 3-folds germs over the ground field). We…
math.AG2000★ 29 cited
Birational properties of pencils of del Pezzo surfaces of degree 1 and 2
Mikhail Grinenko
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 ca…