We prove that every log crepant birational morphism between log terminal surfaces can be decomposed into log flopping type divisorial contraction morphisms and log blowdowns. Repeating these two kinds of contractions we reach a minimal log minimal surface from any log minimal surface.
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Department of Algebra, Faculty of Mathematics, Moscow State Lomonosov UniversityDepartment of Algebra, Faculty of Mathematics, Moscow State Lomonosov University
Prokhorov Yu.G.
Verëvkin A.B.
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Department of Algebraic and Geometric Computations, Faculty of Mathematics, Ulyanovsk State UniversityDepartment of Algebra, Faculty of Mathematics, Moscow State Lomonosov University
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Univ Lisbon, Inst Super Econ & Gestao, Dept Matemat, R Quelhas, P-1200781 Lisbon, PortugalUniv Lisbon, Inst Super Econ & Gestao, Dept Matemat, R Quelhas, P-1200781 Lisbon, Portugal
Lorenzo, Vicente
Lopes, Margarida Mendes
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Univ Lisbon, Inst Super Tecn, Dept Matemat, Av Rovisco Pais, P-1049001 Lisbon, PortugalUniv Lisbon, Inst Super Econ & Gestao, Dept Matemat, R Quelhas, P-1200781 Lisbon, Portugal
Lopes, Margarida Mendes
Pardini, Rita
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Univ Pisa, Dipartimento Matemat, Largo B Pontecorvo 5, I-56127 Pisa, ItalyUniv Lisbon, Inst Super Econ & Gestao, Dept Matemat, R Quelhas, P-1200781 Lisbon, Portugal
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Univ Warwick, Math Inst, Zeeman Bldg, Coventry CV4 7AL, W Midlands, EnglandSookmyung Womens Univ, Dept Math, Cheongpa Ro 47 Gil 100, Seoul 04310, South Korea
van Garrel, Michel
Katz, Sheldon
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Univ Illinois, Dept Math, MC-382, Urbana, IL USASookmyung Womens Univ, Dept Math, Cheongpa Ro 47 Gil 100, Seoul 04310, South Korea
Katz, Sheldon
Takahashi, Nobuyoshi
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Hiroshima Univ, Grad Sch Sci, Dept Math, 1-3-1 Kagamiyama, Higashihiroshima 7398526, JapanSookmyung Womens Univ, Dept Math, Cheongpa Ro 47 Gil 100, Seoul 04310, South Korea