We will report on a joint work with J. Cao. Our main result establishes the extension of twisted canonical forms defined on an infinitesimal neighborhood of the central fiber of a Kahler family under ...
Gli sviluppi più notevoli dello studio delle trasformazioni geometriche si ebbero nella seconda metà del XIX secolo e culminarono nell’opera di Luigi Cremona sulle trasformazioni birazionali del piano...
The canonical line bundle and the corresponding canonical sheaf belong to the most
important geometric/analytic objects associated to a complex manifold. They play a crucial
role e.g. in classificatio...
We consider the problem of finding domains that minimize the first eigenvalue of the Dirichlet Laplacian in a Riemannian manifold under volume constraint (Faber-Krahn minimizers). In the Euclidean set...
The description of regular blocks of the category O of a complex semisimple Lie algebra in
terms of perverse sheaves on a flag variety has been a crucial tool for its study, and in
particular for the ...
Campana introduced the class of special varieties as the varieties admitting no maps onto
an orbifold of general type. They are also characterized by the non-existence of Bogomolov
sheaves which are r...
Finite flat group schemes are important in number theory.
We explain what we do and don't know about their structure over rings of integers of number
fields, in particular over Z.
This is joint work w...
In this talk we introduce a general class of singularly-perturbed elliptic functionals Fε and we study their asymptotic behaviour as the perturbation parameter ε > 0 vanishes. Under suitable assump...
Kodaira and Kawamata-Viehweg vanishing is frequently used to lift sections of adjoint
bundles, a crucial part of many arguments in the classification theory of algebraic varieties,
notably in many pro...
We consider the question of determining reductive overgroups of regular unipotent elements
in simple algebraic groups and in particular give a condition which guarantees that the
overgroup does not li...
Nel seminario si presenteranno delle applicazioni delle algebre di vertice e algebre di vertice di Poisson in algebra, geometria e sistemi integrabili. In particolare si introdurrà la nozione di W-alg...
Le varietà Riemanniane con olonomia speciale sono alcune delle strutture geometriche più rilevanti in geometria differenziale. In particolare, metriche con olonomia speciale sono Einstein, risolvono c...
