Theorems of factorizations for birational morphisms
Teresa Sancho de Salas (1989)
Compositio Mathematica
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Teresa Sancho de Salas (1989)
Compositio Mathematica
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Frans Huikeshoven (1973)
Compositio Mathematica
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Xiaoto Sun (1994)
Compositio Mathematica
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Joseph Lipman (1969)
Publications Mathématiques de l'IHÉS
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Steven Dale Cutkosky (1995)
Compositio Mathematica
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Eckart Viehweg (1977)
Compositio Mathematica
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Mariusz Koras (1993)
Compositio Mathematica
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Scott Nollet, Enrico Schlesinger (2003)
Collectanea Mathematica
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Let F be a smooth projective surface contained in a smooth threefold T, and let X be the scheme corresponding to the divisor 2F on T. A locally Cohen-Macaulay curve C included in X gives rise to two effective divisors on F, namely the largest divisor P contained in C intersection F and the curve R residual to C intersection F in C. We show that under suitable hypotheses a general deformation of R and P lifts to a deformation of C on X, and give applications to the study of Hilbert schemes...