Branching data for algebraic functions and representability by radicals

Y. Burda; A. Khovanskii

Banach Center Publications (2011)

  • Volume: 94, Issue: 1, page 131-142
  • ISSN: 0137-6934

Abstract

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The branching data of an algebraic function is a list of orders of local monodromies around branching points. We present branching data that ensure that the algebraic functions having them are representable by radicals. This paper is a review of recent work by the authors and of closely related classical work by Ritt.

How to cite

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Y. Burda, and A. Khovanskii. "Branching data for algebraic functions and representability by radicals." Banach Center Publications 94.1 (2011): 131-142. <http://eudml.org/doc/282182>.

@article{Y2011,
abstract = {The branching data of an algebraic function is a list of orders of local monodromies around branching points. We present branching data that ensure that the algebraic functions having them are representable by radicals. This paper is a review of recent work by the authors and of closely related classical work by Ritt.},
author = {Y. Burda, A. Khovanskii},
journal = {Banach Center Publications},
keywords = {branching data; representability by radicals; Galois covering},
language = {eng},
number = {1},
pages = {131-142},
title = {Branching data for algebraic functions and representability by radicals},
url = {http://eudml.org/doc/282182},
volume = {94},
year = {2011},
}

TY - JOUR
AU - Y. Burda
AU - A. Khovanskii
TI - Branching data for algebraic functions and representability by radicals
JO - Banach Center Publications
PY - 2011
VL - 94
IS - 1
SP - 131
EP - 142
AB - The branching data of an algebraic function is a list of orders of local monodromies around branching points. We present branching data that ensure that the algebraic functions having them are representable by radicals. This paper is a review of recent work by the authors and of closely related classical work by Ritt.
LA - eng
KW - branching data; representability by radicals; Galois covering
UR - http://eudml.org/doc/282182
ER -

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