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The Hodge structure is defined in the cohomology ring of any smooth compact projective algebraic complex manifold. It presents deep a connection between topological and analytical properties of algebraic varieties. It provides us with new invariants of algebraic varieties which are functorial; it means that are preserved by algebraic morphisms.

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Hodge Structures and Period Map

  • 章节

  • 发表日期：

    2025年

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  • Henryk Żołądek

摘要

The Hodge structure is defined in the cohomology ring of any smooth compact projective algebraic complex manifold. It presents deep a connection between topological and analytical properties of algebraic varieties. It provides us with new invariants of algebraic varieties which are functorial; it means that are preserved by algebraic morphisms.