22 citations · 79 across the 20 of their papers we have counts for
25 papers
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…
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…
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…
Rigidity of modular morphisms via Fujita decomposition
Giulio Codogni, Víctor González-Alonso, Sara Torelli
In this note we prove that the Torelli, Prym and Spin-Torelli morphisms, as well as covering maps between moduli stacks of projective curves can not be deformed. The proofs use pro…
Slope inequalities for KSB-stable and K-stable families
Giulio Codogni, Luca Tasin, Filippo Viviani
We prove some higher dimensional generalizations of the slope inequality originally due to G. Xiao, and to M. Cornalba and J. Harris. We give applications to families of KSB-stable…
A note on families of K-semistable log-Fano pairs
Giulio Codogni, Zsolt Patakfalvi
In this short note, we give an alternative proof of the semipositivity of the Chow-Mumford line bundle for families of K-semistable log-Fano pairs, and of the nefness threeshold fo…