Abstract
In this sub-chapter two basic technical themes are discussed. The first centres around the Riemann-Roch and Serre duality theorems for any compact curve on a surface and is treated in Sects. 1–6. The second theme, developed in Sects. 7–8 is embedded resolution of singularities of curves and the application to the so-called simple singularities of curves.
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© 2004 Springer-Verlag Berlin Heidelberg
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Barth, W.P., Hulek, K., Peters, C.A.M., Van de Ven, A. (2004). Curves on Surfaces. In: Compact Complex Surfaces. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57739-0_3
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DOI: https://doi.org/10.1007/978-3-642-57739-0_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-00832-3
Online ISBN: 978-3-642-57739-0
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