Now showing items 1-20 of 22

(1998)
Article
Open Access

(1998)
Article
Open Access
• #### Experiència pràctica de comunicació de Matemàtiques a la ciutadania i a secundària – 2a fase ﻿

(Universitat Politècnica de Catalunya. Institut de Ciències de l'Educació, 2013-02-08)
Conference report / Conference lecture
Restricted access - author's decision
El projecte implementa experiències pràctiques dels estudis universitaris de matemàtiques (grau, llicenciatura i màsters) en l'àmbit de la docència i la divulgació científica. La finalitat divulgativa pretén fomentar ...
• #### Extension of maps defined on many fibres ﻿

(1997)
Article
Open Access
Let S be a fibred surface. We prove that the existence of morphisms from non countably many fibres to curves implies, up to base change, the existence of a rational map from S to another surface fibred over the same base ...
• #### Generalized Clifford-Severi inequality and the volume of irregular varieties ﻿

(2013-03-02)
External research report
Restricted access - author's decision
We give a sharp lower bound for the selfintersection of a nef li ne bundle L on an irregular variety X in terms of its continuous global sections and the Albanese dim ension of X, which we call the Generalized Clifford-Severi ...
• #### Generalized Clifford-Severi inequality and the volume of irregular varieties ﻿

(2015-02-15)
Article
Open Access
We give a sharp lower bound for the self-intersection of a nef line bundle L on an irregular variety X in terms of its continuous global sections and the Albanese dimension of X, which we call the generalized Clifford-Severi ...
• #### Numerical Bounds of Canonical Varieties ﻿

(1998)
Article
Open Access
We study surfaces and threefolds whose canonical maps are birational (canonical surfaces and threefolds). In the case of canonical surfaces we prove that the known inequlity for its invariants is not sharp if the surface ...

(2000)
Article
Open Access
• #### On the bicanonical map of irregular varieties ﻿

(2010-02)
External research report
Open Access
From the point of view of uniform bounds for the birationality of pluricanonical maps, irregular varieties of general type and maximal Albanese dimension behave similarly to curves. In fact Chen-Hacon showed that, at least ...
• #### On the slope of bielliptic fibrations ﻿

(1997)
Article
Open Access
Let $\pi :S\longrightarrow B$ be a bielliptic fibration. We prove $S$ is, up to base change, a rational double cover of an elliptic fibration and that $\pi$ is isotrivial provided it is smooth. Finally, we prove that the ...
• #### On the slope of fibred surfaces ﻿

(2000)
Article
Open Access
We give an asymptotically sharp lower bound for the slope $\lambda (f)$ of a fibration $f:S\longrightarrow B$, where $S$ is a surface and $B$ is a curve, if there exists an involution on the general fibre $F$ of $f$. ...

(1998)
Article
Open Access
• #### On the slope of fibred threefolds ﻿

(1998)
Article
Open Access
We study from a geographical point of wiew fibrations of threefolds over smooth curves $f: T \longrightarrow B$ such that the general fibre is of general type. We prove the non-negativity of certain relative invariants under ...
• #### On the topological index of irregular surfaces ﻿

(2005)
Article
Open Access
We study the topological index of some irregular surfaces that we call generalized Lagrangian. We show that under certain hypotheses on the base locus of the Lagrangian system the topological index is non-negative. For ...
• #### Positivity properties of relative complete intersections ﻿

(2014-10)
External research report
Open Access
We give conditions for f-positivity of relative complete intersections in projective bundles. We also derive an instability result for the fibres.
• #### Stability and singularities of relative hypersurfaces ﻿

(2014-07-30)
External research report
Open Access
We study relative hypersurfaces, and prove an instability condition for the fibres. This is the starting point for an investigation of the geometry of effective divisors on relative projective bundles.
• #### Surfaces on the Severi line ﻿

(2016-05-01)
Article
Open Access
Let S be a minimal complex surface of general type and of maximal Albanese dimension; by the Severi inequality one has K-S(2) >= 4 chi(O-S). We prove that the equality K-S(2) = 4 chi(O-S) holds if and only if q(S) := ...
• #### The eventual paracanonical map of a variety of maximal Albanese dimension ﻿

(2019)
Article
Open Access
Let Xbe a smooth complex projective variety such that the Albanese map of Xis generically ¿nite onto its image. Here we study the so-called eventual m-paracanonical map of X, whose existence is implied by the results of ...
• #### The representation problem of pairs of symmetric second order tensors in the context of solid mechanics ﻿

(2003)
External research report
Restricted access - author's decision

(1997)
Article
Open Access