Modular Forms and Special Cubic Fourfolds
Zhiyuan Li, Letao Zhang
TL;DR
This paper investigates the degree of special cubic fourfolds within the Hilbert scheme by computing the generating series of Heegner divisors on an even lattice of signature (2, 20).
Contribution
It introduces a method to compute the degrees of special cubic fourfolds using lattice theory and generating series of Heegner divisors.
Findings
Computed the generating series for Heegner divisors.
Determined the degrees of special cubic fourfolds.
Linked lattice theory with geometric properties of fourfolds.
Abstract
We study the degree of the special cubic fourfolds in the Hilbert scheme of cubic fourfolds via a computation of the generating series of Heegner divisors of even lattice of signature (2, 20).
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Advanced Mathematical Identities