The Hodge conjecture: The complications of understanding the shape of geometric spaces
Abstract
Keywords
DOI: https://doi.org/10.7203/metode.0.8253
References
Atiyah, M. F., & Hirzebruch, F. (1962). Analytic cycles on complex manifolds. Topology, 1, 25–45. doi: 10.1016/0040-9383(62)90094-0
Grothendieck, A. (1969). Hodge’s general conjecture is false for trivial reasons. Topology, 8, 299–303. doi: 10.1016/0040-9383(69)90016-0
Hodge, W. V. D. (1950). The topological invariants of algebraic varieties. In Proceedings of the International Congress of Mathematicians (pp. 181–192). Cambridge, MA: American Mathematical Society.
Poincaré, H. (1895). Analysis situs. Journal de l’École Polytechnique, 1, 1–123.
Voisin, C. (2002). A counterexample to the Hodge Conjecture extended to Kähler varieties. International Mathematics Research Notices, 20, 1057–1075. doi: 10.1155/S1073792802111135
Weil, A. (1980). Abelian varieties and the Hodge ring. In Oeuvres Scientifiques Collected Papers III (pp. 421–429). New York: Springer-Verlag.
Refbacks
- There are currently no refbacks.