Florian Pop: Papers

E-mail: pop AT math.upenn.edu

Some recent manuscripts:

Inertia elements versus Frobenius elements
dvi pdf
On the birational p-adic section Conjecture
dvi pdf
Recovering fields from their decomposition graphs
dvi pdf
Pro-p hom-form of the birational anabelian conjecture over sub-p-adic fields
dvi pdf
(with Scott Corry)
See also http://arxiv.org/abs/math/0610268.
Pro-l abelian by central Galois theory of Zariski prime divisors
dvi pdf
Pro-l birational anabelian geometry over alg. closed fields I, Manuscript 2003.
dvi pdf ps
See also: http://arxiv.org/PS_cache/math/pdf/0307/0307076.
The birational anabelian conjecture --r e v i s i t e d--, Manuscript 2002.
dvi pdf ps
See also: http://www.math.leidenuniv.nl/gtem/view.php

Publications:

The absolute Galois group of the field of totally S-adic numbers
dvi pdf
(with D. Haran and M. Jarden),
Nagoya Math. Journal (to appear).
First-order definitions in function fields over anti-Mordellic fields
dvi pdf ps
(with B. Poonen),
in: Model Theory with applications to algebra and analysis, eds: Chatzidakis, Macpherson, Pillay, Wilkie; Cambridge University Press, Cambridge 2007.
Projective group structures as absolute Galois structures with block approximation
dvi pdf ps
(with D. Haran and M. Jarden),
Memoirs of the AMS 189 (2007), 1-56.
Pro-l Galois theory of Zariski prime divisors
dvi pdf ps
in: Groupes de Galois arithmetiques et differentielles, Seminaire et Congress, Soc. Math. de France, Vol 13 (2006), 293-312.
P-adically projective groups as absolute Galois structures
dvi pdf ps
(with D. Haran and M. Jarden)
IMRN 2005 (2005), 1957-1995.
On the specialization homomorphism of fundamental groups of curves in positive characteristic
(with M. Saidi)
in: Galois groups and Fundamental groups (ed. Schneps), MSRI Pub. Series 41, 2003, pp.107--118.
Classically projective groups and pseudo classically closed fields
in: Valuation Theory and its Applications Vol. II, pp.251--283, eds. Kuhlmann et al
Fields Institute Communications, AMS 2003.
Elementary equivalence versus Isomorphism
Invent. Math. 150 (2002), 385-408.
On Alterations and birational anabelian geometry
in: Resolution of singularities, Birkhauser PM Series, Vol. 181 pp. 519--532
eds. Hauser et al, Birkhauser Verlag, Basel 2000.
Glimpses of Grothendieck's anabelian geometry
in: Geometric Galois Actions I, LMS LNS Vol. 242, pp. 133--126
eds Schneps -- Lochak, Cambridge Univ. Press 1998.
Embedding problems over large fields
Ann. of Math. 144 (1996), 1--34.
Etale Galois covers of affine smooth curves
Invent. Math. 120 (1995), 555--578.
On Rumely's local global principle
with B. W. Green and P. Roquette
Jahresbericht DMV, Band 97 (1995), 43--74.
On pro solvable subgroups of pro-finite free products and some applications
Manuscripta Math. 86, Fasc. 1 (1995), 125--135.
On the Local Skolem Property
with B. W. Green and M. Matignon,
J. reine angew. Math. 458 (1995), 183--199.
On Grothendieck's conjecture of anabelian birational geometry
Ann. of Math. 138 (1994), 147--185.
Half Riemann Existence Theorem with Galois Action
in: Algebra and Number Theory, pp. (ed G. Frey -- J. Ritter)
de Gruyter Proceedings in Math., Berlin - New York 1994.
On valued function fields III --Reductions of algebraic curves--
(with B. W. Green and M. Matignon)
J. reine angew. Math. 432 (1992), 117--133.
On valued function fields II --Regular functions and elements with the uniqueness property--
(with B. W. Green and M. Matignon)
J. reine angew. Math. 412 (1990), 128--149.
On the Galois Theory of function fields of one variable over number fields
J.reine angew. Math. 406 (1990), 200--218.
On valued function fields I
(with B. W. Green and M. Matignon)
Manuscripta math. 65 (1989), 357--376.
Galoissche Kennzeichnung p-adisch abgeschlossener Körper
J. reine angew. Math. 392 (1988), 145--175.
An extension of the Noether--Skolem Theorem
(with H. C. Pop)
J. pure appl. Algebra, 35 (1985), 321--328.

Some old Preprints/Manuscripts:

Summen von Quadraten in arithmetischen Funktionenkorpern
dvi pdf ps
Etale Galois covers of smooth affine curves II
Manuscript, Bonn 1998.
On Grothendieck's conjecture of anabelian birational geometry II
Heidelberg--Mannheim Preprint Reihe Arithmetik II, No. 16, Heidelberg 1995.
A torsion criterion for geometrically henselian fields
(with B. W. Green and M. Matignon)
Manuscript, Heidelberg 1995.
The geometric case of a conjecture of Shafarevich --The abs. Gal. group of k(t) is profinite free--
Heidelberg--Mannheim Preprint Reihe Arithmetik, No. 8, Heidelberg 1993.
Hilbertian fields with a universal local global principle
Heidelberg--Mannheim Preprint Reihe Arithmetik, No. 7, Heidelberg 1993.
On the field of totally S-adic numbers
Manuscript, Heidelberg 1990.
On minimal totally wild ramified extensions of henselian fields
Manuscript, Heidelberg 1987. Contains a basic structure result of minimal wild extensions.
On a class of tame fields
Manuscript, Heidelberg 1986. Contains a foundation of the theory of tame fields, subsequently developed by F.-V. Kulhmann.
The content of the above two manuscripts will appear in Kuhlmann's Book on Valuation Theory.
Non-archimedean k*-rings
Manuscript, Bukarest 1983 (65 pages). Thought as a Ph.D. Thesis at the University of Bucharest.
Commutative regular k*-rings
INCREST Preprint series in Math. No. 64, Bucharest 1982.
On a representation problem of Arens and Kaplansky
INCREST Preprint series in Math. No. 49, Bucharest 1981.

Back to Florian Pop's Home Page, respectively Research.