Characteristic varieties of algebraic curves

By A. Libgober. 2001

86 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/1e28531eb665aa7c4f62de024cabe384554ef357

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Alexander I. Suciu
2. Stefan Papadima
3. J. Cogolludo-Agustín
4. Daniel Matei
5. Nero Budur
6. A. N'emethi
7. Alexandru Dimca
8. Enrique Artal Bartolo

In Computational Theory and Mathematics

1. Alexander I. Suciu
2. Stefan Papadima
3. Nero Budur
4. J. Cogolludo-Agustín
5. Daniel Matei
6. A. N'emethi
7. Alexandru Dimca
8. Enrique Artal Bartolo

In Geometry and Topology

1. Alexander I. Suciu
2. Stefan Papadima
3. Alexandru Dimca
4. Enrique Artal Bartolo
5. Nero Budur
6. J. Cogolludo-Agustín
7. Daniel Matei
8. A. N'emethi

Citations in the corpus

• On the homotopy theory of arrangements, II (2000, unknown): “Here we merely remark on the surprising connection described in [14, 55, 50 ] between the characteristic varieties of [53] arising from the Alexander invariant of the fundamental group, and the resonant varieties of [32], which arise from the OS algebra.”
• Hyperplane arrangements and Milnor fibrations (2013, background): “A theorem of Arapura [1], as strengthened by Dimca [17], Libgober [38], Artal-Bartolo, Cogolludo and Matei [2], Budur and Wang [5], and others, states the following.”
• Characteristic varieties of quasi-projective manifolds and orbifolds (2010, result): “Next we give a generalization of the results about essential coordinate components of the characteristic varieties of the complement of hypersurfaces in P, see [2, 35].”
• Topology and geometry of cohomology jump loci (2009, background): “(Further information in the case of hypersurface arrangements can be found in [ 47 , 22].) The point is that only a topological property—namely, 1-formality—is needed for the conclusion of Theorem A to hold.”
• Unitary local systems, multiplier ideals, and polynomial periodicity of Hodge numbers (2006, methodology): “(a) Professor Libgober has kindly informed us that for the case when q ≥ 1, D having isolated non-normal crossings singularities, the irreducible components Di being ample, and H1(X) = 0, the polytopes in the description of V q i are determined (see [Li4]) by the local polytopes of quasiadjunction i”
• Hypersurface Complements, Alexander Modules and Monodromy (2002, methodology): “Using the description of the K(H,1) and of the associated chain complex given in [ Li4 ], (1.2.2.1), it follows that H1(H, Z) = G ′ /G ′′ is a submodule of � g,g and hence H1(H, Z)”