The existence of sufficiently positive subsheaves of the tangent bundle of a complex projective manifold Ximposes strong restrictions on X.In particular, several special varieties can be characterized by positivity properties of their tangent bundle.There are various notions of positivity for distributions on complex projective manifolds.In this talk we consider distributions having big slope with respect to curve classes,obtaining characterizations of generic projective space bundles in terms of movable curve classes.We then apply this result to investigate algebraicity of leaves of foliations, providinga lower bound for the algebraic rank of a foliation in terms of invariants measuring positivity.This is a joint work with Stéphane Druel.
You are here
Characterization of generic projective space bundles and applications to foliations
Research Group:
Carolina Araujo
Institution:
IMPA, Rio de Janeiro
Location:
A139
Schedule:
Thursday, June 14, 2018  14:30
Abstract:
Openings
 Public Calls for Professors
 Temporary Professors/Researchers/Visiting Professors
 SISSA Mathematical Fellowships
 Marie SklodowskaCurie Grants
 Post Doctoral Fellowships
 PhD Scolarships
 SIS Fellowships
 Undergraduate Fellowships
 Postgraduate Fellowships
 MSc in Mathematics
 MSc in Data Science and Scientific Computing (DSSC)
 Professional Master Courses
Upcoming events

Daniele Agostinelli
Peristaltic Waves as Optimal Gaits in Metameric BioInspired Robots
Friday, December 14, 2018  14:00

Hulya Arguz
Tropical and log geometric techniques for open invariants in mirror symmetry
Friday, December 14, 2018  14:30

Diogo Oliveira e Silva
Maximal and Variational Fourier Restriction Theory
Monday, December 17, 2018  11:00

Andrew Kels
Hypergeometric integrals in integrable systems
Wednesday, December 19, 2018  14:00
Today's Lectures

Andrei Agrachev
09:00 to 11:00

Jacopo Stoppa
11:00 to 13:00

Antonio Lerario
11:00 to 13:00

Gianni Dal Maso
14:00 to 16:00

Luca Heltai  Gianluigi Rozza
14:00 to 16:00

Fabio Cavalletti
16:00 to 18:00

Alberto Sartori
16:00 to 18:00
Recent publications

G. Stabile; H.G. Matthies; C. Borri,{A novel reduced order model f...

M. Gallone; A. Michelangeli,Hydrogenoid Spectra with Centr...

G. Dal Maso; C.J. Larsen; R. Toader,Existence for elastodynamic Gr...

G. Dal Maso; G. Franzina; D. Zucco,Transmission conditions obtain...