Add to ORKGAbstract. In this paper we consider a Q-Fano 3-fold weighted complete inter-section of codimension 2 in the 85 families listed in the Iano-Fletcher’s list and determine which cycle is a maximal center or not. For each maximal center, we construct either a birational involution which untwists the maximal singularity or a Sarkisov link centered at the cycle to an another explicitly described Mori fiber space. As a consequence, 19 families are proved to be birationally rigid and the remaining 66 families are proved to be birationally nonrigid. 1
A brief survey of 3-fold birational geometry with a special look at del Pezzo fibrations is given. T...
Abstract. The paper explores the birational geometry of terminal quartic 3-folds. In doing this I de...
We prove that every quasi-smooth weighted Fano threefold hypersurface in the 95 families of Fletcher...
We complete the analysis on the birational rigidity of quasismooth Fano 3-fold deformation families ...
Abstract. In this paper we give first examples of Q-Fano threefolds whose bi-rational Mori fiber str...
The Fano Conference was held in Torino in October 2002. It was organized to commemorate the 50th ann...
Abstract In this paper we prove the birational superrigidity of Fano–Mori fibre spac...
An algebraic variety is called rationally connected if two generic points can be connected by a curv...
We classify birationally rigid orbifold Fano 3-folds of index one defined by $5 \times 5$ Pfaffians....
In this paper we prove birational rigidity of large classes of Fano-Mori fibre spaces over a base of...
For a general Fano 3-fold of index 1 in the weighted projective space (1, 1, 1, 1, 2, 2, 3) we const...
We prove the birational rigidity of Fano complete intersections of index 1 with a singular point of ...
85 pages, final versionInternational audienceWe study the connected algebraic groups acting on Mori ...
We study the geography and birational geometry of 3-fold conic bundles over P\(^2\) and cubic del Pe...
Varieties fibered into del Pezzo surfaces form a class of possible outputs of the minimal model prog...
A brief survey of 3-fold birational geometry with a special look at del Pezzo fibrations is given. T...
Abstract. The paper explores the birational geometry of terminal quartic 3-folds. In doing this I de...
We prove that every quasi-smooth weighted Fano threefold hypersurface in the 95 families of Fletcher...
We complete the analysis on the birational rigidity of quasismooth Fano 3-fold deformation families ...
Abstract. In this paper we give first examples of Q-Fano threefolds whose bi-rational Mori fiber str...
The Fano Conference was held in Torino in October 2002. It was organized to commemorate the 50th ann...
Abstract In this paper we prove the birational superrigidity of Fano–Mori fibre spac...
An algebraic variety is called rationally connected if two generic points can be connected by a curv...
We classify birationally rigid orbifold Fano 3-folds of index one defined by $5 \times 5$ Pfaffians....
In this paper we prove birational rigidity of large classes of Fano-Mori fibre spaces over a base of...
For a general Fano 3-fold of index 1 in the weighted projective space (1, 1, 1, 1, 2, 2, 3) we const...
We prove the birational rigidity of Fano complete intersections of index 1 with a singular point of ...
85 pages, final versionInternational audienceWe study the connected algebraic groups acting on Mori ...
We study the geography and birational geometry of 3-fold conic bundles over P\(^2\) and cubic del Pe...
Varieties fibered into del Pezzo surfaces form a class of possible outputs of the minimal model prog...
A brief survey of 3-fold birational geometry with a special look at del Pezzo fibrations is given. T...
Abstract. The paper explores the birational geometry of terminal quartic 3-folds. In doing this I de...
We prove that every quasi-smooth weighted Fano threefold hypersurface in the 95 families of Fletcher...