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math.AG2023
The Fermat cubic and monodromy of lines
Frank Gounelas, Alexis Kouvidakis
In this paper we study properties of the locus of second type lines of a general cubic threefold and fourfold. By analysing the geometry of the Fano scheme of lines of the Fermat c…
math.AG2023
Effective divisors on projectivized Hodge bundles and modular forms
Gerard van der Geer, Alexis Kouvidakis
We construct vector-valued modular forms on moduli spaces of curves and abelian varieties using effective divisors in projectivized Hodge bundles over moduli of curves. Cycle relat…