Gaussian maps and multiplication maps on certain projective varieties
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Giuseppe Pareschi (1995)
Compositio Mathematica
Jonathan Wahl (1991)
Manuscripta mathematica
Antonio Lanteri, Hidetoshi Maeda (1997)
Forum mathematicum
Frédéric Han (2010)
Annales de l’institut Fourier
We study the geometry of a general Fano variety of dimension four, genus nine, and Picard number one. We compute its Chow ring and give an explicit description of its variety of lines. We apply these results to study the geometry of non quadratically normal varieties of dimension three in a five dimensional projective space.
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