Geometric and homological finiteness in free abelian covers (original) (raw)

Homological finiteness of abelian covers

Alex Suciu

Annali della Scuola Normale Superiore di Pisa, 2015

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Characteristic varieties and Betti numbers of free abelian covers

Alex Suciu

International Mathematics Research Notices, 2014

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Bieri-Neumann-Strebel-Renz invariants and homology jumping loci

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Proceedings of the London Mathematical society, 2010

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Minicourse: Cohomology jump loci in geometry and topology. Part III: Finiteness properties

Alex Suciu

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Minicourse: Cohomology jump loci in geometry and topology. Part II: Characteristic varieties

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Resonance varieties and Dwyer-Fried invariants

Alex Suciu

Adv. Stud. Pure Math., Arrangements of Hyperplanes--Sapporo 2009, 2012

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Mini-Workshop: Cohomology Rings and Fundamental Groups of Hyperplane Arrangements, Wonderful Compactifications, and Real Toric Varieties

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Oberwolfach Reports, 2012

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Combinatorial covers and vanishing of cohomology

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2015

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Characteristic varieties and homological finiteness properties

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Geometry and topology of cohomology jumping loci

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Minicourse: Cohomology jump loci in geometry and topology. Part IV: Applications

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Fundamental groups, Alexander invariants, and cohomology jumping loci

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Contemporary Mathematics, vol. 538, 2011

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On the homology of certain smooth covers of moduli spaces of algebraic curves

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Differential Geometry and its Applications, 2015

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The geometry of the space of holomorphic maps from a Riemann surface to a complex projective space

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Journal of Differential Geometry, 1997

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The cohomology ring away from 2 of configuration spaces on real projective spaces

Jesus Gonzalez

Topology and its Applications, 2015

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Cohomology jump loci, Σ-invariants, and fundamental groups of algebraic varieties

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The Prym Map: From Coverings to Abelian Varieties

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Notices of the American Mathematical Society, 2020

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A geometric description of differential cohomology

Thomas Schick

Annales mathématiques Blaise Pascal, 2010

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Topology and geometry of cohomology jump loci

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Duke Mathematical Journal, 2009

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Translated tori in the characteristic varieties of complex hyperplane arrangements

Alexandru Ion

Topology and Its Applications, 2002

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On homology of real algebraic varieties

Yildiray Ozan

PROCEEDINGS-AMERICAN MATHEMATICAL …, 2001

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On the homology of finite free (?/2)n-Complexes

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Inventiones Mathematicae, 1983

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Cohomology of algebraic plane curves

Nancy Abdallah

2014

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Homology, Cohomology, and Sheaf Cohomology for Algebraic Topology, Algebraic Geometry, and Differential Geometry

Jean Gallier

Homology, Cohomology, and Sheaf Cohomology for Algebraic Topology, Algebraic Geometry, and Differential Geometry, 2022

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Homological invariants associated to

Yuji Yoshino

2005

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The rational homology of real toric manifolds

Alex Suciu

2013

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Arrangements and cohomology

Michael Falk

Annals of Combinatorics, 1997

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A family of cohomological complex projective spaces

Mustafa Kalafat

arXiv: Algebraic Geometry, 2018

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Cohomology and higher dimensional Baer invariants

Antonio Martinez Cegarra

Journal of Algebra, 1990

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Cohomology on Toric Varieties and Local Cohomology with Monomial Supports

Mike Stillman

Journal of Symbolic Computation, 2000

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Characteristic classes and algebraic homology of real algebraic varieties

Yildiray Ozan

1998

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Geometry of Characteristic Varieties

Le Dung Trang

Algebraic Approach to Differential Equations, 2010

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