5 papers
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…
Vertex operator algebras, partition functions and Teichmüller modular forms
Sebastiano Carpi, Giulio Codogni
In the spirit of the geometric approach to two-dimensional conformal field theory, we explicitly associate to every holomorphic vertex operator algebra a section of a power of Hodg…
Spectral Theory of Isogeny Graphs
Giulio Codogni, Guido Maria Lido
We consider finite graphs whose vertexes are supersingular elliptic curves, possibly with level structure, and edges are isogenies. They can be applied to the study of modular form…
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…
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This paper is withdrawn since we found a flaw in the proof of Theorem 4, asserting that the base locus of the complete linear system of an ample line bundle on a complex abelian va…