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math.AG2026★ 8 cited
Vertex algebras and Teichmüller modular forms
Giulio Codogni
We associate to any holomorphic vertex algebra a collection of Teichmüller modular forms, one in each genus. In genus one we obtain the character of the vertex algebra, and we thu…
math.AG2025
Effective positivity of Hodge bundles and applications
Giulio Codogni, Zsolt Patakfalvi, Luca Tasin
We prove new boundedness results across different areas of algebraic geometry, stemming from a unifying technical starting point: bounding the integer such that the -th…
math.AG2025
Characterizing Jacobians via the KP equation and via flexes and degenerate trisecants to the Kummer variety: an algebro-geometric approach
Enrico Arbarello, Giulio Codogni, Giuseppe Pareschi
This paper is withdrawn since we found a flaw in the proof of Theorem 4, asserting that the base locus of the complete linear system of an ample line bundle on a complex abelian va…