Braid monodromy factorizations and diffeomorphism types

Vik S. Kulikov, M. Teicher

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

In this paper we prove that if two cuspidal plane curves B\ and B have equivalent braid monodromy factorizations, then B\ and BI are smoothly isotopic in OP . As a consequence, we obtain that if Si, 82 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\, B% of some smooth projections of Si, 82 to QP have equivalent braid monodromy factorizations, then Si and 52 are diffeomorphic (as real four-dimensional manifolds).

Original languageEnglish
Pages (from-to)311-341
Number of pages31
JournalIzvestiya Mathematics
Volume64
Issue number2
DOIs
StatePublished - 2000
Externally publishedYes

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