Geodesic
Birational properties of pencils of del Pezzo surfaces of degrees 1 and 2
Sbornik. Mathematics, Tome 191 (2000) no. 5, pp. 633-653 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of birational rigidity is investigated for smooth Mori fibre spaces representable as a pencil of del Pezzo surfaces of degree 1 or 2. 
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M. M. Grinenko. Birational properties of pencils of del Pezzo surfaces of degrees 1 and 2. Sbornik. Mathematics, Tome 191 (2000) no. 5, pp. 633-653. http://geodesic.mathdoc.fr/item/SM_2000_191_5_a1/

[1] Corti A., “Factoring birational maps of threefolds after Sarkisov”, J. Algebraic Geom., 4 (1995), 223–254 | MR | Zbl

[2] Pukhlikov A. V., Essentials of the method of maximal singularities, Warwick Preprint 31/1996 | MR

[3] Pukhlikov A. V., “Biratsionalnye avtomorfizmy trekhmernykh algebraicheskikh mnogoobrazii s puchkom poverkhnostei Del Petstso”, Izv. RAN. Ser. matem., 62:1 (1998), 123–164 | MR | Zbl

[4] Iskovskikh V. A., Manin Yu. I., “Trekhmernye kvartiki i kontrprimery k probleme Lyurota”, Matem. sb., 86 (128):1 (1971), 140–166 | MR | Zbl

[5] Iskovskikh V. A., “Biratsionalnye avtomorfizmy trekhmernykh algebraicheskikh mnogoobrazii”, Itogi nauki i tekhn. Sovr. probl. matem., 12, VINITI, M., 1979, 159–236 | MR

[6] Iskovskikh V. A., “O probleme ratsionalnosti dlya trekhmernykh mnogoobrazii, rassloennykh na poverkhnosti Del Petstso”, Trudy MIRAN, 208, Nauka, M., 1995, 128–138 | MR | Zbl

[7] Khashin S. I., “Biratsionalnye avtomorfizmy dvoinogo konusa Veroneze razmernosti tri”, Vestn. MGU. Ser. 1. Matem., mekh., 1984, no. 1, 13–16 | MR | Zbl

[8] Reid M., “Minimal models of canonical 3-folds”, Adv. Stud. Pure Math., 1 (1983), 131–180 | MR | Zbl

[9] Grinenko M. M., “Biratsionalnye avtomorfizmy trekhmernogo dvoinogo konusa”, Matem. sb., 189:7 (1998), 37–52 | MR | Zbl

[10] Khashin S. I., Biratsionalnye avtomorfizmy mnogoobraziya Fano indeksa 2 stepeni 2, MGU, M., 1985

[11] Corti A., “Del Pezzo surfaces over Dedekind schemes”, Ann. of Math., 144 (1996), 641–683 | DOI | MR | Zbl