On the number and boundedness of log minimal models of general type

Autor: Diletta Martinelli, Stefan Schreieder, Luca Tasin

Publikováno v: Martinelli, D, Schreieder, S & Tasin, L 2020, ' On the number and boundedness of log minimal models of general type ', Annales Scientifiques de l'École Normale Supérieure, vol. 53, pp. 1183-1207 . https://doi.org/10.24033/asens.2443

We show that the number of marked minimal models of an n-dimensional smooth complex projective variety of general type can be bounded in terms of its volume, and, if n=3, also in terms of its Betti numbers. For an n-dimensional projective klt pair (X

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57e5d1e79a6a0e1930c650c7c7b258ae
https://doi.org/10.24033/asens.2443

Chern Numbers of Uniruled Threefolds

Autor: Luca Tasin, Stefan Schreieder

Publikováno v: Birational Geometry and Moduli Spaces ISBN: 9783030371135

In this paper we show that the Chern numbers of a smooth Mori fibre space in dimension three are bounded in terms of the underlying topological manifold. We also generalise a theorem of Cascini and the second named author on the boundedness of Chern

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3d6bf78d49214a43a219a857b3f46648
https://doi.org/10.1007/978-3-030-37114-2_11

Kähler structures on spin 6-manifolds

Autor: Luca Tasin, Stefan Schreieder

Publikováno v: Mathematische Annalen. 373:397-419

We show that many spin 6-manifolds have the homotopy type but not the homeomorphism type of a Kaehler manifold. Moreover, for given Betti numbers, there are only finitely many deformation types and hence topological types of smooth complex projectve

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dfcc1f8a5bd957e8193f805e4ba5641a
https://doi.org/10.1007/s00208-017-1615-2

On the first steps of the minimal model program for the moduli space of stable pointed curves

Autor: Luca Tasin, Filippo Viviani, Giulio Codogni

The aim of this paper is to study all the natural first steps of the minimal model program for the moduli space of stable pointed curves. We prove that they admit a modular interpretation and we study their geometric properties. As a particular case,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59691ca04c46e1f14b36bd58409eaa7e
http://arxiv.org/abs/1808.00231

Fano-Mori contractions of high length on projective varieties with terminal singularities

Autor: Marco Andreatta, Luca Tasin

Publikováno v: Bulletin of the London Mathematical Society. 46:185-196

Let X be a projective variety with terminal singularities and let L be an ample Cartier divisor on X. We prove that if f is a birational contraction associated to an extremal ray $ R \subset \bar {NE(X)}$ such that R.(K_X+(n-2)L)
12 pages. We fi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53002ad497ed2dfbf9d4df08eb641a36
https://doi.org/10.1112/blms/bdt083