Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Tasin, Luca"'
Autor:
Sano, Taro, Tasin, Luca
We give a lower bound for the delta invariant of the fundamental divisor of a quasi-smooth weighted hypersurface. As a consequence, we prove K-stability of a large class of quasi-smooth Fano hypersurfaces of index 1 and of all smooth Fano weighted hy
Externí odkaz:
http://arxiv.org/abs/2408.03057
We show that there exist infinitely many families of Sasaki-Einstein metrics on every odd-dimensional standard sphere of dimension at least $5$. We also show that the same result is true for all odd-dimensional exotic spheres that bound parallelizabl
Externí odkaz:
http://arxiv.org/abs/2203.08468
Autor:
Sano, Taro, Tasin, Luca
Let $X \subset \mathbb P(a_0,\ldots,a_n)$ be a quasi-smooth weighted Fano hypersurface of degree $d$ and index $I_X$ such that $a_i |d$ for all $i$, with $a_0 \le \ldots \le a_n$. If $I_X=1$, we show that, under a suitable condition, the $\alpha$-inv
Externí odkaz:
http://arxiv.org/abs/2111.15209
Publikováno v:
Proceedings of the London Mathematical Society, Volume126, Issue 4, pages 1394 --1465, April 2023
We prove some higher dimensional generalizations of the slope inequality originally due to G. Xiao, and to M. Cornalba and J. Harris. We give applications to families of KSB-stable and K-stable pairs, as well as to the study of the ample cone of the
Externí odkaz:
http://arxiv.org/abs/2107.09553
Autor:
Schreieder, Stefan, Tasin, Luca
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:
http://arxiv.org/abs/1906.01397
Publikováno v:
Alg. Number Th. 15 (2021) 1245-1281
The aim of this paper is to study some modular contractions of the moduli space of stable pointed curves. These new moduli spaces, which are modular compactifications of the moduli space of smooth pointed curves, are related with the minimal model pr
Externí odkaz:
http://arxiv.org/abs/1904.13212
Publikováno v:
J. Inst. Math. Jussieu 22 (2023), 145-211
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:
http://arxiv.org/abs/1808.00231
Publikováno v:
Eur. J. Math. (2018) 4:859-878
In this note we consider the problem of determining which Fano manifolds can be realised as fibres of a Mori fibre space. In particular, we study the case of toric varieties, Fano manifolds with high index and some Fano manifolds with high Picard ran
Externí odkaz:
http://arxiv.org/abs/1801.07690
Publikováno v:
Alg. Number Th. 11 (2017) 2369-2395
We show that Ambro-Kawamata's non-vanishing conjecture holds true for a quasi-smooth WCI X which is Fano or Calabi-Yau, i.e. we prove that, if H is an ample Cartier divisor on X, then |H| is not empty. If X is smooth, we further show that the general
Externí odkaz:
http://arxiv.org/abs/1703.07344
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.