Abstract
In the first section we resolve the singularities of a curve by a finite number of blowing up points. Furthermore, we consider a curve C embedded in a regular surface X,and we show: by a finite sequence of blowing up points we get a regular surface X′ such that the total transform of C in X′ is a divisor with normal crossings [embedded resolution of curves in a regular surface].
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© 2004 Springer Science+Business Media New York
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Kiyek, K., Vicente, J.L. (2004). Resolution of Singularities. In: Resolution of Curve and Surface Singularities. Algebras and Applications, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-2029-2_8
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DOI: https://doi.org/10.1007/978-1-4020-2029-2_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6573-5
Online ISBN: 978-1-4020-2029-2
eBook Packages: Springer Book Archive