4 citations · 6 across the 13 of their papers we have counts for
5 papers · 1 filter
On the geometry of punctual Hilbert schemes on singular curves and their motivic zeta functions
Mounir Hajli, Hussein Mourtada, Wenhao Zhu
Inspired by the work of Soma and Watari, we define a tree structure on certain subsemimodules of the semigroup associated with an irreducible plane curve singularity . B…
The arithmetic volume of hypersurfaces in toric varieties and Mahler measures
Mounir Hajli
In this paper we determine the canonical arithmetic volume of hypersurfaces in smooth projective toric varieties. As a consequence, we prove a generalized Hodge index theorem on hy…
The theta invariants and the volume function on arithmetic varieties
Mounir Hajli
We introduce a new arithmetic invariant for hermitian line bundles on an arithmetic variety. We use this invariant to measure the variation of the volume function with respect to t…
Growth of balls of holomorphic sections on projective toric varieties
Mounir Hajli
Let be an equivariant line bundle which is big and nef on a complex projective nonsingular toric variety . Given a continuous toric metric on $\math…
On an arithmetic inequality on
Mounir Hajli
We establish an inequality comparing the height and the -arithmetic volume of toric metrized divisors on . This gives a partial answer to a question o…