Fano Varieties in Mori Fibre Spacesdoi:10.1093/imrn/rnv173G CodogniAndrea FanelliRoberto SvaldiLuca TasinG. Codogni, A. Fanelli, R. Svaldi and T. Luca, Fano varieties in Mori fibre spaces, preprint 2014, http:// arxiv.org/abs/1406.7634v1....
Luca, Fano varieties in Mori fibre spaces, preprint (2014), http://arxiv.org/abs/1406.7634v1. 10.1093/imrn/rnv173Search in Google Scholar [14] L. Ein, R. Lazarsfeld, M. Mustaţă, M. Nakamaye and M. Popa, Asymptotic invariants of base loci, Ann. Inst. Fourier (Grenoble) 56 (...
If one wants to study klt Fano varieties from the point of view of the MMP, it is particularly relevant to see if one can apply Corollary1.17to the case of Mori Fibre Spaces with one dimensional bases. In [32, Corollary 1.11], it is shown that if a smooth Fano surface or a smooth ...
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the authors construct mirror families to log Calabi–Yau varieties which deform the embeddings of the affine spaces and vertex varieties described above. In work in progress with Barrott and Kasprzyk we determine precisely when these families admit a fibrewise compactification inYin the two-dimensional...
For a general Fano 3-fold of index 1 in the weighted projective space ℙ(1, 1, 1, 1, 2, 2, 3) we construct two new birational models that are Mori fibre spaces in the framework of the so-called Sarkisov program. We highlight a relation between the corresponding birational maps, ...
Remark 1.1 For d ≤ M − 1 (that is, for r ≥ 3) one can certainly not expect that all structures of a rationally connected fibre space (or of a Fano–Mori fibre space) are linear projections. Already for a hypersurface of index 3 every pencil of quadrics defines a rational map ...
We find new varieties in P2 ×P2 format that have the same Hilbert series as known Fano 3-folds but lie in different deformation families. From another point of view, we understand this as the unprojec- tion analysis of degenerations of complete intersections, and this treatment provides yet...
Based on the relation between Y and the blow-up of in 8 points, we describe completely the base scheme of the anticanonical system . We also prove that the Bertini involution of Y, induced by the Bertini involution of S, preserves every member in . In particular, we establish the ...