Add to ORKGAbstract. The paper explores the birational geometry of terminal quartic 3-folds. In doing this I develop a new approach to study maximal singularities with positive dimensional centers. This allows to determine the pliability of a Q-factorial quartic with ordinary double points, and it shows the importance of Q-factoriality in the context of birational geometry of uniruled 3-folds
16 pagesWe construct families of quartic and cubic hypersurfaces through a canonical curve, which ar...
Abstract. Extremal contractions which contract divisors to points in projective threefolds with Q-fa...
Abstract. We show that the family of (Q-factorial and log terminal) Q-Fano n-folds with Picard numbe...
In this paper, we study the birational geometry of certain examples of mildly singular quartic 3-fol...
Let X⊂P4 be a terminal factorial quartic 3-fold. If X is non-singular, X is birationally rigid, i.e....
Let Y be a quartic hypersurface in P⁴ with terminal singularities. The Grothendieck-Lefschetz theore...
It is known that the Q-factoriality of a nodal quartic 3-fold in P4 implies its nonrationality. We p...
The Burkhardt quartic is a 3-dimensional projective hypersurface defined over the rational numbers. ...
This thesis is a collection of four papers about symmetric and Hermitian determinantal representatio...
We complete the analysis on the birational rigidity of quasismooth Fano 3-fold deformation families ...
Abstract. In this paper we consider a Q-Fano 3-fold weighted complete inter-section of codimension 2...
AbstractWe study when double covers of P3 ramified along nodal surfaces are not Q-factorial. In part...
This volume, first published in 2000, is an integrated suite of papers centred around applications o...
In previous work, we have introduced a program aimed at studying the birational geometry of locally ...
International audienceThe purpose of this article and of "Resolution of singularities of threefolds ...
16 pagesWe construct families of quartic and cubic hypersurfaces through a canonical curve, which ar...
Abstract. Extremal contractions which contract divisors to points in projective threefolds with Q-fa...
Abstract. We show that the family of (Q-factorial and log terminal) Q-Fano n-folds with Picard numbe...
In this paper, we study the birational geometry of certain examples of mildly singular quartic 3-fol...
Let X⊂P4 be a terminal factorial quartic 3-fold. If X is non-singular, X is birationally rigid, i.e....
Let Y be a quartic hypersurface in P⁴ with terminal singularities. The Grothendieck-Lefschetz theore...
It is known that the Q-factoriality of a nodal quartic 3-fold in P4 implies its nonrationality. We p...
The Burkhardt quartic is a 3-dimensional projective hypersurface defined over the rational numbers. ...
This thesis is a collection of four papers about symmetric and Hermitian determinantal representatio...
We complete the analysis on the birational rigidity of quasismooth Fano 3-fold deformation families ...
Abstract. In this paper we consider a Q-Fano 3-fold weighted complete inter-section of codimension 2...
AbstractWe study when double covers of P3 ramified along nodal surfaces are not Q-factorial. In part...
This volume, first published in 2000, is an integrated suite of papers centred around applications o...
In previous work, we have introduced a program aimed at studying the birational geometry of locally ...
International audienceThe purpose of this article and of "Resolution of singularities of threefolds ...
16 pagesWe construct families of quartic and cubic hypersurfaces through a canonical curve, which ar...
Abstract. Extremal contractions which contract divisors to points in projective threefolds with Q-fa...
Abstract. We show that the family of (Q-factorial and log terminal) Q-Fano n-folds with Picard numbe...