output
19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

researchers with a paper here
collaborating institutions
Showing 2010 · math.AGShow all

5 papers · 2 filters

math.AG2010

On the topology of semi-algebraic functions on closed semi-algebraic sets

Nicolas Dutertre

We consider a semi-algebraic function defined on a closed semi-algebraic set X. We give formulas relating the topology of X to the indices of the critical points of the function an…

math.AG2010

Higher dimensional tautological inequalities and applications

Carlo Gasbarri, Gianluca Pacienza, Erwan Rousseau

We study the degeneracy of holomorphic mappings tangent to holomorphic foliations on projective manifolds. Using Ahlfors currents in higher dimension, we obtain several strong dege…

math.AG2010★ 15 cited

Hypersurfaces with degenerate duals and the Geometric Complexity Theory Program

J. M. Landsberg, Laurent Manivel, Nicolas Ressayre

We determine set-theoretic defining equations for the variety of hypersurfaces of degree d in an N-dimensional complex vector space that have dual variety of dimension at most k. W…

math.AG2010★ 18 cited

On nodal prime Fano threefolds of degree 10

Olivier Debarre, Atanas Iliev, Laurent Manivel

We study the geometry and the period map of nodal complex prime Fano threefolds with index 1 and degree 10. We show that these threefolds are birationally isomorphic to Verra solid…

math.AG2010

The minimum and maximum number of rational points on jacobian surfaces over finite fields

Safia Haloui

We give some bounds on the numbers of rational points on abelian varieties and jacobians varieties over finite fields. The main result is that we determine the maximum and minimum…