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      Products of pairs of Dehn twists and maximal real Lefschetz fibrations

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      Author
      Degtyarev, A.
      Salepci, N.
      Date
      2013
      Source Title
      Nagoya Mathematical Journal
      Print ISSN
      0027-7630
      Publisher
      Cambridge University Press
      Volume
      210
      Pages
      83 - 132
      Language
      English
      Type
      Article
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      Abstract
      We address the problem of existence and uniqueness of a factorization of a given element of the modular group into a product of two Dehn twists. As a geometric application, we conclude that any maximal real elliptic Lefschetz fibration is algebraic. © 2013 by The Editorial Board of the Nagoya Mathematical Journal.
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      http://hdl.handle.net/11693/20919
      Published Version (Please cite this version)
      http://dx.doi.org/10.1215/00277630-2077026
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      • Department of Mathematics 614
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