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This article is cited in 36 scientific papers (total in 36 papers)
Braid monodromy factorizations and diffeomorphism types
Vik. S. Kulikova, M. Teicherb a Steklov Mathematical Institute, Russian Academy of Sciences
b Bar-Ilan University, Department of Chemistry
Abstract:
In this paper we prove that if two cuspidal plane curves $B_1$ and $B_2$ have equivalent braid monodromy factorizations, then $B_1$ and $B_2$ are smoothly isotopic in $\mathbb C\mathbb P^2$. As a consequence, we obtain that if $S_1$, $S_2$ are surfaces of general type embedded in a projective space by means of a multiple canonical class and if the discriminant curves (the branch curves) $B_1$, $B_2$ of some smooth projections
of $S_1$, $S_2$ to $\mathbb{CP}^2$ have equivalent braid monodromy factorizations, then $S_1$ and $S_2$ are diffeomorphic (as real four-dimensional manifolds).
Received: 29.12.1998
Citation:
Vik. S. Kulikov, M. Teicher, “Braid monodromy factorizations and diffeomorphism types”, Izv. Math., 64:2 (2000), 311–341
Linking options:
https://www.mathnet.ru/eng/im285https://doi.org/10.1070/im2000v064n02ABEH000285 https://www.mathnet.ru/eng/im/v64/i2/p89
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Abstract page: | 638 | Russian version PDF: | 198 | English version PDF: | 11 | References: | 75 | First page: | 1 |
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