Local comparisons of homological and homotopical mixed Hodge polynomials

DOI10.3792/pjaa.96.006zbMath1442.32037arXiv2003.01976OpenAlexW3009571177MaRDI QIDQ1988510

Shoji Yokura

Publication date: 23 April 2020

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.01976

zbMATH Keywords

rational homotopy theorymixed Hodge structuresHilali conjecturemixed Hodge polynomials

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Homology and cohomology theories in algebraic topology (55N99) Homotopy groups of spheres (55Q40) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35)

Related Items (2)

Self-products of rationally elliptic spaces and inequalities between the ranks of homotopy and homology groups ⋮ Poincaré polynomials of a map and a relative Hilali conjecture

Cites Work

• Unnamed Item
• A conjectured lower bound for the cohomological dimension of elliptic spaces
• The de Rham homotopy theory of complex algebraic varieties. I
• Sur la théorie de Hodge-Deligne. (On the Hodge-Deligne theory)
• The de Rham homotopy theory of complex algebraic varieties. II
• The algebraic topology of smooth algebraic varieties
• The Hilali conjecture on product of spaces
• A lower bound for the cohomological dimension of an elliptic space
• Théorie de Hodge. II. (Hodge theory. II)
• Théorie de Hodge. III
• The Hilali Conjecture for Hyperelliptic Spaces
• Mixed Hodge Structures

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