output
19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2019 · math.AGShow all

5 papers · 2 filters

math.AG2019★ 4 cited

Boundary of the Milnor fiber of a Newton non degenerate surface singularity

Octave Curmi

We give in this work an explicit combinatorial algorithm for the description of the Milnor fiber of a Newton non degenerate surface singularity as a graph manifold. This is based o…

math.AG2019★ 4 cited

Topology of smoothings of non-isolated singularities of complex surfaces

Octave Curmi

We prove that the boundaries of the Milnor fibers of smoothings of non-isolated reduced complex surface singularities are graph manifolds. Moreover, we give a method, inspired by p…

math.AG2019★ 3 cited

A variational approach to the Hermitian-Einstein metrics and the Quot-scheme limit of Fubini-Study metrics

Yoshinori Hashimoto, Julien Keller

This is a sequel of our paper [arXiv:1809.08425] on the Quot-scheme limit and variational properties of Donaldson's functional, which established its coercivity for slope stable ho…

math.AG2019

On the tensor rank of multiplication in finite extensions of finite fields and related issues in algebraic geometry

Stéphane Ballet, Jean Chaumine, Julia Pieltant +3

In this paper, we give a survey of the known results concerning the tensor rank of the multiplication in finite extensions of finite fields, enriched with some not published recent…

math.AG2019★ 8 cited

Inner geometry of complex surfaces: a valuative approach

André Belotto da Silva, Lorenzo Fantini, Anne Pichon

Given a complex analytic germ in , the standard Hermitian metric of induces a natural arc-length metric on , called the inner metri…