Effective bounds for semipositive sheaves and for the height of points on curves over complex function fields
Hélène Esnault, Eckart Viehweg (1990)
Compositio Mathematica
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Hélène Esnault, Eckart Viehweg (1990)
Compositio Mathematica
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J. Huisman (2001)
Revista Matemática Complutense
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We show that there is a large class of nonspecial effective divisors of relatively small degree on real algebraic curves having many real components i.e. on M-curves. We apply to 1. complete linear systems on M-curves containing divisors with entirely real support, and 2. morphisms of M-curves into P1.
George R. Kempf (1985)
Compositio Mathematica
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Monnier, Jean-Philippe (2003)
Advances in Geometry
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Allen Tannenbaum (1980)
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...
Allen Tannenbaum (1984)
Compositio Mathematica
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E. Ballico (1993)
Compositio Mathematica
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