789 citations
- Istituto Nazionale di Fisica NucleareIT14 papers
- European Centre for Theoretical Studies in Nuclear Physics and Related AreasIT6 papers
- P.L. Kapitza Institute for Physical ProblemsRU6 papers
- Scuola Internazionale Superiore di Studi AvanzatiIT6 papers
- Scuola Normale SuperioreIT6 papers
- Arizona State UniversityUS5 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- École Normale Supérieure - PSLFR5 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di TriesteIT5 papers
- Technical University of MunichDE5 papers
- Hebrew University of JerusalemIL4 papers
- Istituto Nazionale di Alta Matematica Francesco SeveriIT4 papers
12 papers · 1 filter
Koszul cohomology and singular curves
Edoardo Ballico, Claudio Fontanari, Luca Tasin
We investigate Koszul cohomology on irreducible nodal curves. In particular, we prove both Green and Green-Lazarsfeld conjectures for the general k-gonal nodal curve.
Smoothing of rational m-ropes
Edoardo Ballico, Elizabeth Gasparim, Thomas Köppe
In a recent paper, Gallego, González and Purnaprajna showed that rational 3-ropes can be smoothed. We generalise their proof and obtain smoothability of rational -ropes for $m \…
Quotients of products of curves, new surfaces with and their fundamental groups
Ingrid Bauer, Fabrizio Catanese, Fritz Grunewald +1
The first main purpose of this paper is to contribute to the existing knowledge about the complex projective surfaces of general type with and their moduli spaces,…
A splitting criterion for vector bundles on blowing ups of the plane
Edoardo Ballico, Francesco Malaspina
Let be the blowing-up of distinct points and a vector bundle on . Here we give a cohomological criterio which is equivalent to $E \cong f_s^…
Local moduli of holomorphic bundles
Edoardo Ballico, Elizabeth Gasparim, Thomas Köppe
We study moduli of holomorphic vector bundles on non-compact varieties. We discuss filtrability and algebraicity of bundles and calculate dimensions of local moduli. As particularl…
Vector bundles on Hirzebruch surfaces whose twists by a non-ample line bundle have natural cohomology
E. Ballico, F. Malaspina
Here we study vector bundles on the Hirzebruch surface such that their twists by a spanned, but not ample, line bundle have natural cohomol…