The paper constructs a 16-dimensional irreducible component of the locus Z of Hassett maximal cubic fourfolds and confirms their maximality via lattice analysis.
Parimala, Some aspects of the algebraic theory of quadratic forms, Developments in Mathematics35, Springer, New York, 181–205 (2013)
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The equations of general Hassett maximal cubic fourfolds
The paper constructs a 16-dimensional irreducible component of the locus Z of Hassett maximal cubic fourfolds and confirms their maximality via lattice analysis.