322 citations
- University of PisaIT28 papers
- Universitat Autònoma de BarcelonaES27 papers
- University of PaduaIT27 papers
- University of California, DavisUS26 papers
- University of TriesteIT25 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di PadovaIT22 papers
- Institute for High Energy PhysicsES20 papers
- Sapienza University of RomeIT19 papers
- Fermi National Accelerator LaboratoryUS15 papers
- Massachusetts Institute of TechnologyUS15 papers
- Scuola Normale SuperioreIT15 papers
- Texas A&M UniversityUS15 papers
5 papers · 1 filter
The resurgence of ideals of points and the containment problem
Cristiano Bocci, Brian Harbourne
Given a symbolic power of a homogeneous ideal in a polynomial ring, we study the problem of determining which powers of the ideal contain it. For ideals defining 0-dimensional subs…
A tropical interpretation of m-dissimilarity maps
C. Bocci, F. Cools
Let T be a weighted tree with n numbered leaves and let D be its distance matrix, so D(i,j) is the distance between the leaves i and j. If m is an integer between 2 and n, we prove…
Complete intersections on general hypersurfaces
E. Carlini, L. Chiantini, A. V. Geramita
We ask when certain complete intersections of codimension can lie on a generic hypersurface in $\PP^n$. We give a complete answer to this question when in terms o…
Comparing powers and symbolic powers of ideals
Cristiano Bocci, Brian Harbourne
We develop tools to study the problem of containment of symbolic powers in powers for a homogeneous ideal in a polynomial ring in variables…
Triple-Point Defective Ruled Surfaces
Luca Chiantini, Thomas Markwig
In arXive:0705.3912 we studied triple-point defective very ample linear systems on regular surfaces, and we showed that they can only exist if the surface is ruled. In the present…