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On the Degeneration, Regeneration and Braid Monodromy of T×T
Authors:Meirav Amram  Mina Teicher
Institution:(1) Mathematisches Institut, Universität Erlangen-Nürnberg, Bismarckstrasse 1 1/2, 91054 Erlangen, Germany;(2) Department of Mathematics and Computer Science, Bar-Ilan University, Ramat Gan, 52900, Israel
Abstract:This paper is the first in a series of three papers concerning the surface T×T. Here we study the degeneration of T×T and the regeneration of its degenerated object. We also study the braid monodromy and its regeneration.
Keywords:homotopy groups  algebraic topology of manifolds  fundamental groups  covering spaces  degeneration  monodromy  moduli spaces  elliptic surfaces  curves  surfaces  singularities
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