Peter Orlik

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All published works

Action	Title	Year	Authors
+ PDF Chat	Local system homology of arrangement complements	2018	Peter Orlik R. Silvotti
+ PDF Chat	On Coxeter Arrangements and the Coxeter Number	2018	Peter Orlik Louis Solomon Hiroaki Terao
+	Hyperplane Arrangements	2008	Peter Orlik
+	Discrete Morse Theory	2007	Peter Orlik Volkmar Welker
+	Basic De.nitions and Examples	2007	Peter Orlik Volkmar Welker
+	Introduction	2007	Peter Orlik Volkmar Welker
+	Algebraic Combinatorics	2007	Peter Orlik Volkmar Welker
+	Introduction	2007	Peter Orlik Volkmar Welker
+	Algebraic Combinatorics: Lectures at a Summer School in Nordfjordeid, Norway, June 2003	2007	Peter Orlik Volkmar Welker
+	Arrangements and Hypergeometric Integrals	2007	Peter Orlik Hiroaki Terao
+ PDF Chat	Gauss-Manin connections for arrangements, IV. Nonresonant eigenvalues	2006	Daniel C. Cohen Peter Orlik
+	Arrangements and Ranking Patterns	2006	Hidehiko Kamiya Peter Orlik Akimichi Takemura Hiroaki Terao
+ PDF Chat	Stratified Morse Theory in Arrangements	2006	Daniel C. Cohen Peter Orlik
+	Stratified Morse Theory in Arrangements	2006	Daniel C. Cohen Peter Orlik
+ PDF Chat	Gauss-Manin connections for arrangements, II: Nonresonant weights	2005	Daniel C. Cohen Peter Orlik
+	Gauss-Manin connections for arrangements, IV Nonresonant eigenvalues	2005	Daniel C. Cohen Peter Orlik
+	Gauss-Manin connections for arrangements, III Formal connections	2004	Daniel C. Cohen Peter Orlik
+	Ranking patterns of the unfolding model and arrangements	2004	Hidehiko Kamiya Peter Orlik Akimichi Takemura Hiroaki Terao
+	Gauss-Manin connections for arrangements, III Formal connections	2003	Daniel C. Cohen Peter Orlik
+ PDF Chat	Nonresonance conditions for arrangements	2003	Daniel C. Cohen Alexandru Dimca Peter Orlik
+ PDF Chat	The sign representation for Shephard groups	2002	Peter Orlik Victor Reiner Anne V. Shepler
+	Geometric relationship between cohomology of the complement of real and complexified arrangements	2002	Ken Jewell Peter Orlik
+	Some cyclic covers of complements of arrangements	2002	Daniel C. Cohen Peter Orlik
+	Gauss-Manin connections for arrangements, II Nonresonant weights	2002	Daniel C. Cohen Peter Orlik
+	Nonresonance conditions for arrangements	2002	Daniel C. Cohen Alexandru Dimca Peter Orlik
+	Gauss-Manin Connections for Arrangements	2001	Daniel C. Cohen Peter Orlik
+	Hyperplane arrangements in optimization HYPERPLANE ARRANGEMENTS	2001	Peter Orlik
+ PDF Chat	Arrangements and local systems	2000	Daniel C. Cohen Peter Orlik
+	The Sign Representation for Shephard Groups	2000	Peter Orlik Victor Reiner Anne V. Shepler
+	Some cyclic covers of complements of arrangements	2000	Daniel C. Cohen Peter Orlik
+	Hypergeometric integrals and arrangements	1999	Peter Orlik
+	Arrangements and local systems	1999	Daniel C. Cohen Peter Orlik
+	Twisted de Rham Cohomology Groups of Logarithmic Forms	1997	Kazuhiko Aomoto Michitake Kita Peter Orlik Hiroaki Terao
+	The number of critical points of a product of powers of linear functions	1995	Peter Orlik Hiroaki Terao
+	Arrangements and Milnor fibers	1995	Peter Orlik Hiroaki Terao
+ PDF Chat	Commutative algebras for arrangements	1994	Peter Orlik Hiroaki Terao
+	On the complements of affine subspace arrangements	1994	Ken Jewell Peter Orlik Boris Shapiro
+	Three-Mode Hierarchical Cluster Analysis of Three-Way Three-Mode Data	1994	Thomas Eckes Peter Orlik
+	TRIPAT: a Model for Analyzing Three-Mode Binary Data	1994	Sabine Krolak‐Schwerdt Peter Orlik Bernhard Ganter
+ PDF Chat	The Milnor fiber of a generic arrangement	1993	Peter Orlik Richard Randell
+ PDF Chat	Coxeter arrangements are hereditarily free	1993	Peter Orlik Hiroaki Terao
+	Some Commutative Algebra	1992	Peter Orlik Hiroaki Terao
+	Arrangements of Hyperplanes	1992	Peter Orlik Hiroaki Terao
+	Topology	1992	Peter Orlik Hiroaki Terao
+	Basic Derivations	1992	Peter Orlik Hiroaki Terao
+	Algebras	1992	Peter Orlik Hiroaki Terao
+	Milnor fiber complexes for Shephard groups	1990	Peter Orlik
+	Stratification of the discriminant in reflection groups	1989	Peter Orlik
+	6 The Cohomology of 𝑀(𝒜)	1989	Peter Orlik
+	4 Lattice Homology	1989	Peter Orlik
+	Basic derivations for unitary reflection groups	1989	Peter Orlik
+ PDF Chat	The Hessian map in the invariant theory of reflection groups	1988	Peter Orlik Louis Solomon
+ PDF Chat	Discriminants in the invariant theory of reflection groups	1988	Peter Orlik Louis Solomon
+	Arrangements in unitary and orthogonal geometry over finite fields	1985	Peter Orlik Louis Solomon
+	Arrangements of hyperplanes and differential forms	1984	Peter Orlik Louis Solomon Hiroaki Terao
+	A character formula for the unitary group over a finite field	1983	Peter Orlik Louis Solomon
+	Coxeter arrangements	1983	Peter Orlik Louis Solomon
+	Arrangements defined by unitary reflection groups	1982	Peter Orlik Louis Solomon
+	Actions of compact connected groups on 4-manifolds	1982	Peter Orlik
+	Complexes for reflection groups	1981	Peter Orlik Louis Solomon
+	Unitary reflection groups and cohomology	1980	Peter Orlik Louis Solomon
+	Combinatorics and topology of complements of hyperplanes	1980	Peter Orlik Louis Solomon
+ PDF Chat	Singularities and group actions	1979	Peter Orlik
+	Singularities II; automorphisms of forms	1978	Peter Orlik Louis Solomon
+	Singularities. I. Hypersurfaces with an isolated singularity	1978	Peter Orlik Louis Solomon
+	The monodromy of weighted homogeneous singularities	1977	Peter Orlik Richard Randell
+ PDF Chat	Algebraic surfaces with k*-action	1977	Peter Orlik Philip Wagreich
+	The Multiplicity of a Holomorphic Map at an Isolated Critical Point	1977	Peter Orlik
+	The structure of weighted homogeneous polynomials	1977	Peter Orlik Richard Randell
+	Seifertn-manifolds	1975	Peter Orlik Philip Wagreich
+	Actions of the torus on 4-manifolds—II	1974	Peter Orlik Frank Raymond
+ PDF Chat	Homotopy 4-Spheres Have Little Symmetry.	1973	Peter Orlik
+	Equivariant resolution of singularities with C* action	1972	Peter Orlik Philip Wagreich
+	On the homology of weighted homogeneous manifolds	1972	Peter Orlik
+	Equivariant cobordism and the α-invariant	1972	Peter Orlik
+	Circle actions on 3-manifolds	1972	Peter Orlik
+	Free actions of finite groups on S3	1972	Peter Orlik
+	Resolution of singularities	1972	Peter Orlik
+	Seifert manifolds	1972	Peter Orlik
+ PDF Chat	Seifert Manifolds	1972	Peter Orlik
+	Singularities of algebraic surfaces with C* action	1971	Peter Orlik Philip Wagreich
+	Isolated Singularities of Algebraic Surfaces with C ∗ Action	1971	Peter Orlik Philip Wagreich
+	Actions of the Torus on 4-Manifolds. I	1970	Peter Orlik Frank Raymond
+	Isolated singularities defined by weighted homogeneous polynomials	1970	John Milnor Peter Orlik
+	Weighted homogeneous polynomials and fundamental groups	1970	Peter Orlik
+ PDF Chat	On the ARF Invariant of an Involution	1970	Peter Orlik
+ PDF Chat	Actions of the torus on $4$-manifolds. I	1970	Peter Orlik Frank Raymond
+ PDF Chat	Smooth homotopy lens spaces.	1969	Peter Orlik
+	ON 3-MANIFOLDS WITH LOCAL <i>SO</i>(2) ACTION	1969	Peter Orlik Frank Raymond
+ PDF Chat	On the extensions of the infinite cyclic group by a $2$-manifold group	1968	Peter Orlik
+	Examples of Free Involutions on 3-Manifolds	1968	Peter Orlik
+ PDF Chat	Free involutions on homotopy (4𝑘+3)-spheres	1968	Peter Orlik C. P. Rourke
+	Actions of SO(2) on 3-Manifolds	1968	Peter Orlik Frank Raymond
+	Zur topologie gefaserter dreidimensionaler mannigfaltigkeiten	1967	Peter Orlik Elmar Vogt Heiner Zieschang
+	Necessary conditions for the homeomorphism of seifert-manifolds	1967	Peter Orlik
+	On Seifert-manifolds	1966	Peter Orlik
+	Necessary Conditions For The Homeomorphism Of Seifert-manifolds.	1966	Peter Orlik

Common Coauthors

Coauthor	Papers Together
Hiroaki Terao	15
Daniel C. Cohen	15
Louis Solomon	13
Volkmar Welker	6
Philip Wagreich	5
Frank Raymond	5
Richard Randell	3
Hidehiko Kamiya	2
Ken Jewell	2
Akimichi Takemura	2
Victor Reiner	2
Alexandru Dimca	2
Anne V. Shepler	2
Heiner Zieschang	1
Thomas Eckes	1
Elmar Vogt	1
Boris Shapiro	1
Michitake Kita	1
Kazuhiko Aomoto	1
Sabine Krolak‐Schwerdt	1
John Milnor	1
R. Silvotti	1
C. P. Rourke	1
Bernhard Ganter	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Arrangements of Hyperplanes	1992	Peter Orlik Hiroaki Terao	22
+	Singular points of complex hypersurfaces	1968	John Milnor	18
+ PDF Chat	Cohomology of local systems on the complement of hyperplanes	1993	Hélène Esnault Vadim Schechtman Eckart Viehweg	16
+	Arrangements of hyperplanes and Lie algebra homology	1991	Vadim Schechtman Alexander Varchenko	13
+ PDF Chat	𝛽𝐧𝐛𝐜-bases for cohomology of local systems on hyperplane complements	1997	Michael Falk Hiroaki Terao	12
+	Unitary reflection groups and cohomology	1980	Peter Orlik Louis Solomon	10
+	Isolated Singularities of Algebraic Surfaces with C ∗ Action	1971	Peter Orlik Philip Wagreich	10
+	Groupes et algèbres de Lie	1971	Nicolás Bourbaki	9
+	Singular Points of Complex Hypersurfaces. (AM-61)	1969	John Milnor	9
+	Cohomology of local systems on the complement of hyperplanes	1992	H�l�ne Esnault Vadim Schechtman Eckart Viehweg	9
+	Moduli space of combinatorially equivalent arrangements of hyperplanes and logarithmic Gauss–Manin connections	2002	Hiroaki Terao	9
+	Combinatorics and topology of complements of hyperplanes	1980	Peter Orlik Louis Solomon	9
+	Cohomology and Intersection Cohomology of Complex Hyperplane Arrangements	1993	Daniel C. Cohen	9
+ PDF Chat	Arrangements and local systems	2000	Daniel C. Cohen Peter Orlik	8
+	Isolated singularities defined by weighted homogeneous polynomials	1970	John Milnor Peter Orlik	8
+ PDF Chat	Equations Différentielles à Points Singuliers Réguliers	1970	Pierre Deligne	8
+	Facing up to arrangements: face-count formulas for partitions of space by hyperplanes	1975	Thomas Zasĺavsky	8
+	Cohomology of the brieskorn-orlik-solomon algebras	1995	Sergey Yuzvinsky	8
+	Beispiele zur Differentialtopologie von Singularit�ten	1966	Egbert Brieskorn	7
+ PDF Chat	Gauß-Manin Connection arising from arrangements of hyperplanes	2000	Herbert Kanarek	7
+	Local systems over complements of hyperplanes and the Kac-Kazhdan conditions for singular vectors	1995	Vadim Schechtman Hiroaki Terao Alexander Varchenko	7
+	Arrangements and Hypergeometric Integrals	2007	Peter Orlik Hiroaki Terao	7
+	Stratified Morse Theory	1988	Mark Goresky Robert MacPherson	7
+ PDF Chat	Lattice-isotopic arrangements are topologically isomorphic	1989	Richard Randell	7
+	Hypergeometric Functions	1993	Philip Feinsilver René Schott	7
+	Arrangements and cohomology	1997	Michael Falk	6
+	On Milnor Fibrations of Arrangements	1995	Daniel C. Cohen Alexander I. Suciu	6
+	Complexes for reflection groups	1981	Peter Orlik Louis Solomon	6
+ PDF Chat	Characteristic varieties of arrangements	1999	Daniel C. Cohen Alexander I. Suciu	6
+	Singularities of algebraic surfaces with C* action	1971	Peter Orlik Philip Wagreich	6
+	Singularities. I. Hypersurfaces with an isolated singularity	1978	Peter Orlik Louis Solomon	6
+	Gauss-Manin Connections for Arrangements	2001	Daniel C. Cohen Peter Orlik	6
+ PDF Chat	Homology of a local system on the complement of hyperplanes	1986	Toshitake Kohno	5
+	Actions of SO(2) on 3-Manifolds	1968	Peter Orlik Frank Raymond	5
+	Complex reflection groups	1990	Mervyn Hughes	5
+	Theory of logarithmic differential forms and logarithmic vector fields	1980	Kyoji Saito	5
+ PDF Chat	O(n)-Mannigfaltigkeiten, exotische Sphären und Singularitäten	1968	F. Hirzebruch K. H. Mayer	5
+ PDF Chat	Gauss-Manin connection of integral of difference products	1987	Kazuhiko Aomoto	5
+	Classification of the actions of the circle on 3-manifolds	1968	Frank Raymond	5
+	The Gauss-Manin connection of the integral of the deformed difference product	1998	Jyoichi Kaneko	5
+ PDF Chat	Gauss-Manin connections for arrangements, II: Nonresonant weights	2005	Daniel C. Cohen Peter Orlik	4
+	Sur les groupes de tresses [d'après V. I. Arnol'd]	1973	Egbert Brieskorn	4
+ PDF Chat	Singularities and Topology of Hypersurfaces	1992	Alexandru Dimca	4
+	Regular Complex Polytopes	1952	G. C. Shephard	4
+	Seminar on transformation groups	1960	A. Borel Glen E. Bredon	4
+	Geometry of cohomology support loci for local systems I	1996	Donu Arapura	4
+	Singularities II; automorphisms of forms	1978	Peter Orlik Louis Solomon	4
+	Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I	1964	Heisuke Hironaka	4
+ PDF Chat	The Hessian map in the invariant theory of reflection groups	1988	Peter Orlik Louis Solomon	4
+ PDF Chat	Un théorème de Zariski du type de Lefschetz	1973	Helmut A. Hamm Lê Dũng Tráng	4