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Matematicheskie Zametki, 2003, Volume 73, Issue 5, Pages 649–656
DOI: https://doi.org/10.4213/mzm213 (Mi mzm213) 		 
On the Equivalence of Elementary Chains of Monoidal Transformations of the Projective Plane

A. S. Bystrikov

M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm213
Abstract: We introduce the notion of curve associated with a chain of blow-ups of a complex surface. On the basis of this notion, we classify elementary chains (of length up to seven) of blow-ups of the projective plane. We prove (under an additional condition) that the ramification curve of the inverse of a polynomial mapping cannot be isolated in 4 or 5 blow-ups.
Received: 06.03.2002
English version:
Mathematical Notes, 2003, Volume 73, Issue 5, Pages 611–617
DOI: https://doi.org/10.1023/A:1024000402593
Bibliographic databases:
UDC: 514.77
Language: Russian
Citation: A. S. Bystrikov, “On the Equivalence of Elementary Chains of Monoidal Transformations of the Projective Plane”, Mat. Zametki, 73:5 (2003), 649–656; Math. Notes, 73:5 (2003), 611–617
Citation in format AMSBIB
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