On the degeneration, regeneration and braid monodromy of T × T

Meirav Amram; Mina Teicher

doi:10.1023/A:1022396230382

On the degeneration, regeneration and braid monodromy of T × T

Meirav Amram, Mina Teicher

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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.

Original language	English
Pages (from-to)	195-270
Number of pages	76
Journal	Acta Applicandae Mathematicae
Volume	75
Issue number	1-3
DOIs	https://doi.org/10.1023/A:1022396230382
State	Published - Jan 2003

Bibliographical note

Funding Information:
The first author (M.A.) would like to thank the Einstein Institute, The Hebrew University, Jerusalem for hospitality and support. Her work was partially supported by the Emmy Noether Research Institute for mathematics (center of the Minerva Foundation of Germany), the Excellency Center (Group Theoretic Methods in the Study of Algebraic Varieties of the Israel Science Foundation), and EAGER (EU Network, HPRN-CT-2009-00099).

Keywords

Algebraic topology of manifolds
Covering spaces
Curves
Degeneration
Elliptic surfaces
Fundamental groups
Homotopy groups
Moduli spaces
Monodromy
Singularities
Surfaces

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title = "On the degeneration, regeneration and braid monodromy of T × T",

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.",

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AU - Teicher, Mina

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KW - Algebraic topology of manifolds

KW - Covering spaces

KW - Curves

KW - Degeneration

KW - Elliptic surfaces

KW - Fundamental groups

KW - Homotopy groups

KW - Moduli spaces

KW - Monodromy

KW - Singularities

KW - Surfaces

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On the degeneration, regeneration and braid monodromy of T × T

Abstract

Bibliographical note

Keywords

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