3 papers
math.AG2024
Modularity of formal Fourier--Jacobi series from a cohomological point of view
Marco Flores
We investigate the modularity of formal Fourier--Jacobi series by establishing cohomological vanishing results for line bundles defined on compactifications of . Wor…
math.AG2024
Cohomological vanishing on blown-up projective spaces
Marco Flores
By utilizing elementary techniques from toric geometry, we prove sharp cohomological vanishing results for line bundles defined on the blow-up of projective space at…
math.GT2017
Toy Teichmüller spaces of real dimension 2: the pentagon and the punctured triangle
Yudong Chen, Roman Chernov, Marco Flores +3
We study two -dimensional Teichmüller spaces of surfaces with boundary and marked points, namely, the pentagon and the punctured triangle. We show that their geometry is quite d…