Hodge theory on Alexander invariants -- a survey
DOI10.1016/j.topol.2021.107981zbMath1495.14012arXiv2101.06740OpenAlexW4205746608MaRDI QIDQ2139826
Eva Elduque, Botong Wang, Moisés Herradón Cueto, Christian Geske, Laurenţiu Maxim
Publication date: 19 May 2022
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.06740
Period matrices, variation of Hodge structure; degenerations (32G20) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Variation of Hodge structures (algebro-geometric aspects) (14D07) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35)
Cites Work
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- Hyperplane arrangements. An introduction
- The de Rham homotopy theory of complex algebraic varieties. I
- Singularities and topology of hypersurfaces
- Homotopy groups of the complements to singular hypersurfaces. II
- Position of singularities of hypersurfaces and the topology of their complements
- The monodromy theorem for compact Kähler manifolds and smooth quasi-projective varieties
- On the monodromy of complex polynomials
- Regular functions transversal at infinity
- Intersection homology and Alexander modules of hypersurface complements
- Théoreme de Lefschetz et critères de dégénérescence de suites spectrales
- Théorie de Hodge. II. (Hodge theory. II)
- Nearby cycles and Alexander modules of hypersurface complements
- Twisted Alexander modules of hyperplane arrangement complements
- The Mixed Hodge Structure of the Complement to an Arbitrary Arrangement of Affine Complex Hyperplanes is Pure
- On the monodromy and mixed Hodge structure on cohomology of the infinite cyclic covering of the complement to a plane algebraic curve
- Twisted Alexander invariants of complex hypersurface complements
- Mixed Hodge Structures
- Singular Points of Complex Hypersurfaces. (AM-61)
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