Schanuel Nullstellensatz for Zilber fields

Paola D'Aquino; Angus Macintyre; Giuseppina Terzo

Fundamenta Mathematicae (2010)

  • Volume: 207, Issue: 2, page 123-143
  • ISSN: 0016-2736

Abstract

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We characterize the unsolvable exponential polynomials over the exponential fields introduced by Zilber, and deduce Picard's Little Theorem for such fields.

How to cite

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Paola D'Aquino, Angus Macintyre, and Giuseppina Terzo. "Schanuel Nullstellensatz for Zilber fields." Fundamenta Mathematicae 207.2 (2010): 123-143. <http://eudml.org/doc/283098>.

@article{PaolaDAquino2010,
abstract = {We characterize the unsolvable exponential polynomials over the exponential fields introduced by Zilber, and deduce Picard's Little Theorem for such fields.},
author = {Paola D'Aquino, Angus Macintyre, Giuseppina Terzo},
journal = {Fundamenta Mathematicae},
keywords = {Schaunel's Conjecture; strong extension; Picard's Little Theorem; exponential fields},
language = {eng},
number = {2},
pages = {123-143},
title = {Schanuel Nullstellensatz for Zilber fields},
url = {http://eudml.org/doc/283098},
volume = {207},
year = {2010},
}

TY - JOUR
AU - Paola D'Aquino
AU - Angus Macintyre
AU - Giuseppina Terzo
TI - Schanuel Nullstellensatz for Zilber fields
JO - Fundamenta Mathematicae
PY - 2010
VL - 207
IS - 2
SP - 123
EP - 143
AB - We characterize the unsolvable exponential polynomials over the exponential fields introduced by Zilber, and deduce Picard's Little Theorem for such fields.
LA - eng
KW - Schaunel's Conjecture; strong extension; Picard's Little Theorem; exponential fields
UR - http://eudml.org/doc/283098
ER -

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