= Igor Dolgachev
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<Igor Dolgachev> studies <algebraic geometry>, including the classical geometry of plane curves and their symmetries. With <Michela Artebani>, he wrote a study of the <Hesse pencil> and its associated configurations.<The Hesse pencil of plane cubic curves by Michela Artebani and Igor Dolgachev>[Original author byline, abstract and section 2]{ref}
The pencil combines plane cubic <algebraic curves> sharing nine base points. Those points encode the flex geometry of a smooth cubic, while special members split into lines. The paper connects this classical configuration with <elliptic surfaces> and <K3 surfaces>, illustrating how a one-parameter family of equations organizes several geometric objects at once.<The Hesse pencil of plane cubic curves by Michela Artebani and Igor Dolgachev>[Section 2 and abstract]{ref}
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