Abstract
In studying geometry of Fermat varieties, there are two basic facts. One is readily visible (and hence a well-known) fact that a large finite group of automorphisms acts on a Fermat variety. The other is the existence of the so-called “inductive structure” of Fermat varieties of a fixed degree. By combining these, we can deal with various geometric questions concerning Fermat varieties and their products (or varieties closely related to them) such as the Hodge Conjecture [1] or the Tate Conjecture [11].
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Shioda, T. (1982). Geometry of Fermat Varieties. In: Koblitz, N. (eds) Number Theory Related to Fermat’s Last Theorem. Progress in Mathematics, vol 26. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-6699-5_3
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DOI: https://doi.org/10.1007/978-1-4899-6699-5_3
Publisher Name: Birkhäuser, Boston, MA
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