Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
ERRATUM TO:
PLURISUBHARMONIC EXTREMAL FUNCTIONS,
LELONG NUMBERS AND COHERENT IDEAL SHEAVES
Finnur Larusson and Ragnar Sigurdsson
22 May 2001
We are grateful to Quang Dieu Nguyen for pointing out a gap in the proof of Theorem
3.9 in our paper in Indiana Un
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
HOLOMORPHIC FUNCTIONS OF SLOW GROWTH
ON NESTED COVERING SPACES OF COMPACT MANIFOLDS
Finnur Larusson
University of Western Ontario
3 March 1999
Abstract. Let Y be an innite covering space of a projective manifold M in P N of dimension n 2. Let C be the int
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
PROPER HOLOMORPHIC IMMERSIONS
IN HOMOTOPY CLASSES OF MAPS FROM
FINITELY CONNECTED PLANAR DOMAINS INTO C C
FINNUR LARUSSON AND TYSON RITTER
Abstract. Gromov, in his seminal 1989 paper on the Oka principle, proved that every continuous map from a Stein mani
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
ABSOLUTE NEIGHBOURHOOD RETRACTS
AND SPACES OF HOLOMORPHIC MAPS
FROM STEIN MANIFOLDS TO OKA MANIFOLDS
FINNUR LARUSSON
Abstract. The basic result of Oka theory, due to Gromov, states that every continuous map f from a Stein manifold S to an elliptic manifol
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
SCHLICHT ENVELOPES OF HOLOMORPHY
AND FOLIATIONS BY LINES
FINNUR LARUSSON AND RASUL SHAFIKOV
Abstract. Given a domain Y in a complex manifold X, it is a dicult problem with no
general solution to determine whether Y has a schlicht envelope of holomorphy in
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
CONVEXITY OF SUBLEVEL SETS
OF PLURISUBHARMONIC EXTREMAL FUNCTIONS
Finnur Larusson, Patrice Lassere, and Ragnar Sigurdsson
30 April 1997
Abstract. Let X be a convex domain in Cn and let E be a convex subset of X. The
relative extremal function uE,X for E i
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
COMPACT QUOTIENTS OF LARGE DOMAINS
IN COMPLEX PROJECTIVE SPACE
Finnur Larusson
University of Western Ontario
4 January 1998
Abstract. We study compact complex manifolds covered by a domain in ndimensional
projective space whose complement E is nonempty
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
MODEL STRUCTURES AND THE OKA PRINCIPLE
Finnur Larusson
University of Western Ontario
Abstract. We embed the category of complex manifolds into the simplicial category of
prestacks on the simplicial site of Stein manifolds, a prestack being a contravariant
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
PLURISUBHARMONICITY OF ENVELOPES
OF DISC FUNCTIONALS ON MANIFOLDS
Finnur Larusson and Ragnar Sigurdsson
Abstract. We show that a disc functional on a complex manifold has a plurisubharmonic
envelope if all its pullbacks by holomorphic submersions from dom
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
PLURISUBHARMONIC FUNCTIONS
AND ANALYTIC DISCS ON MANIFOLDS
Finnur Larusson and Ragnar Sigurdsson
25 May 1998
Abstract. Let X be a complex manifold and AX be the family of maps D X which
are holomorphic in a neighbourhood of the closure of the unit disc D.
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
SICIAKZAHARIUTA EXTREMAL FUNCTIONS,
ANALYTIC DISCS AND POLYNOMIAL HULLS
FINNUR LARUSSON AND RAGNAR SIGURDSSON
Abstract. We prove two disc formulas for the SiciakZahariuta extremal function of an
arbitrary open subset of complex ane space. We use these f
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
AFFINE SIMPLICES IN OKA MANIFOLDS
FINNUR LARUSSON
Abstract. We show that the homotopy type of a complex manifold X satisfying the
Oka property is captured by holomorphic maps from the ane spaces Cn , n 0, into
X. Among such X are all complex Lie groups an
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
APPLICATIONS OF A PARAMETRIC OKA PRINCIPLE FOR LIFTINGS
FINNUR LARUSSON
Dedicated to Linda P. Rothschild
Abstract. A parametric Oka principle for liftings, recently proved by Forstneri, provides
c
many examples of holomorphic maps that are brations in a m
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
PLURISUBHARMONIC EXTREMAL FUNCTIONS,
LELONG NUMBERS AND COHERENT IDEAL SHEAVES
Finnur Larusson and Ragnar Sigurdsson
29 October 1998
Abstract. We introduce a new type of pluricomplex Green function which has a logarithmic pole along a complex subspace A o
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
SICIAKZAHARIUTA EXTREMAL FUNCTIONS
AND POLYNOMIAL HULLS
FINNUR LARUSSON AND RAGNAR SIGURDSSON
Dedicated to Professor Jzef Siciak on the occasion of his 75th birthday
o
Abstract. We use our disc formula for the SiciakZahariuta extremal function to charac
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
THE SICIAKZAHARIUTA EXTREMAL FUNCTION
AS THE ENVELOPE OF DISC FUNCTIONALS
Finnur Larusson and Ragnar Sigurdsson
Abstract. We establish disc formulas for the SiciakZahariuta extremal function of an arbitrary open subset of complex ane space. This functio
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
DESSINS DENFANTS AND DIFFERENTIAL EQUATIONS
FINNUR LARUSSON AND TIMUR SADYKOV
Abstract. We state and solve a discrete version of the classical RiemannHilbert problem.
In particular, we associate a RiemannHilbert problem to every dessin denfants. We show
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
MAPPING CYLINDERS AND THE OKA PRINCIPLE
Finnur Larusson
University of Western Ontario
Abstract. We apply concepts and tools from abstract homotopy theory to complex analysis
and geometry, continuing our development of the idea that the Oka Principle is ab
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
AN EXTENSION THEOREM
FOR HOLOMORPHIC FUNCTIONS OF SLOW GROWTH
ON COVERING SPACES OF PROJECTIVE MANIFOLDS
Finnur Larusson
University of Michigan
June 1, 1993
Abstract. Let X be a projective manifold of dimension n 2 and Y X be an
innite covering space. Emb
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
DEFORMATIONS OF OKA MANIFOLDS
FINNUR LARUSSON
Abstract. We investigate the behaviour of the Oka property with respect to deformations of compact complex manifolds. We show that in a family of compact complex
manifolds, the set of Oka bres corresponds to a
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
`
THE THIRD CAUCHYFANTAPPIE FORMULA OF LERAY
Cezar Joita and Finnur Larusson
University of Western Ontario
3 January 2002
Abstract. We study the third CauchyFantappi` formula, an integral representation fore
mula for holomorphic functions on a domain in
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
OKA PROPERTIES OF GROUPS
OF HOLOMORPHIC AND ALGEBRAIC AUTOMORPHISMS
OF COMPLEX AFFINE SPACE
FRANC FORSTNERIC AND FINNUR LARUSSON
Abstract. We show that the group of all holomorphic automorphisms of complex
ane space Cn , n > 1, and several of its subgroup
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
EXCISION FOR SIMPLICIAL SHEAVES ON THE STEIN SITE
AND GROMOVS OKA PRINCIPLE
Finnur Larusson
University of Western Ontario
Abstract. A complex manifold X is said to satisfy the OkaGrauert property if the inclusion O(S, X) C(S, X) is a weak equivalence for
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
PLURISUBHARMONIC SUBEXTENSIONS
AS ENVELOPES OF DISC FUNCTIONALS
FINNUR LARUSSON AND EVGENY A. POLETSKY
Abstract. We prove a disc formula for the largest plurisubharmonic subextension
of an upper semicontinuous function on a domain W in a Stein manifold to
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
HOLOMORPHIC FLEXIBILITY PROPERTIES
OF COMPACT COMPLEX SURFACES
FRANC FORSTNERIC AND FINNUR LARUSSON
Abstract. We introduce the notion of a stratied Oka manifold and prove that such
a manifold X is strongly dominable in the sense that for every x X, there
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
AN OKA PRINCIPLE FOR EQUIVARIANT ISOMORPHISMS
FRANK KUTZSCHEBAUCH, FINNUR LARUSSON, GERALD W. SCHWARZ
Abstract. Let G be a reductive complex Lie group acting holomorphically on normal
Stein spaces X and Y , which are locally Gbiholomorphic over a common
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
THE MARTIN BOUNDARY ACTION
OF GROMOV HYPERBOLIC COVERING GROUPS
AND APPLICATIONS TO HARDY CLASSES
Finnur Larusson
Purdue University
December 8, 1994
1. Introduction.
Hardy theory deals with holomorphic and harmonic functions whose growth is bounded
in a c
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
SURVEY OF OKA THEORY
FRANC FORSTNERIC AND FINNUR LARUSSON
Abstract. Oka theory has its roots in the classical Oka principle in complex analysis.
It has emerged as a subeld of complex geometry in its own right since the appearance
of a seminal paper of M.
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
A WOLFFDENJOY THEOREM
FOR INFINITELY CONNECTED RIEMANN SURFACES
Finnur Larusson
Purdue University
November 26, 1994
Abstract. We generalize the classical WolDenjoy theorem to certain innitely connected
Riemann surfaces. Let X be a nonparabolic Riemann
Western University (Ontario)  Also known as University of Western Ontario
Mathematics,
MATH 2000

Summer 2002
HOLOMORPHIC NEIGHBOURHOOD RETRACTIONS
OF AMPLE HYPERSURFACES
Finnur Larusson
University of Western Ontario
22 February 1996
Abstract. Let X be a hypersurface in a compact complex manifold M with dim M 2.
We consider the neighbourhood structure of X and of