Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Romano, Eleonora A."'
Autor:
Romano, Eleonora A., Secci, Saverio A.
We study K-stability on smooth complex Fano 4-folds having large Lefschetz defect, that is greater or equal then 3, with a special focus on the case of Lefschetz defect 3. In particular, we determine whether these Fano 4-folds are K-polystable or not
Externí odkaz:
http://arxiv.org/abs/2409.03571
Given an action of the one-dimensional torus on a projective variety, the associated Chow quotient arises as a natural parameter space of invariant $1$-cycles, which dominates the GIT quotients of the variety. In this paper we explore the relation be
Externí odkaz:
http://arxiv.org/abs/2310.18623
We construct a correspondence between Mori dream regions arising from small modifications of normal projective varieties and $\mathbb{C}^*$-actions on polarized pairs which are bordisms. Moreover, we show that the Mori dream regions constructed in th
Externí odkaz:
http://arxiv.org/abs/2207.09864
Publikováno v:
Math. Z. 304, 45 (2023)
In this paper we study varieties admitting torus actions as geometric realizations of birational transformations. We present an explicit construction of these geometric realizations for a particular class of birational transformations, and study some
Externí odkaz:
http://arxiv.org/abs/2205.08190
A geometric realization of a birational map $\psi$ among two complex projective varieties is a variety $X$ endowed with a $\mathbb{C}^*$-action inducing $\psi$ as the natural birational map among two extremal geometric quotients. In this paper we stu
Externí odkaz:
http://arxiv.org/abs/2112.15130
Autor:
Barban, Lorenzo, Romano, Eleonora A.
Starting from $\mathbb{C}^*$-actions on complex projective varieties, we construct and investigate birational maps among the corresponding extremal fixed point components. We study the case in which such birational maps are locally described by toric
Externí odkaz:
http://arxiv.org/abs/2104.14442
We link small modifications of projective varieties with a ${\mathbb C}^*$-action to their GIT quotients. Namely, using flips with centers in closures of Bia{\l}ynicki-Birula cells, we produce a system of birational equivariant modifications of the o
Externí odkaz:
http://arxiv.org/abs/2103.07209
Let X be a smooth, complex Fano 4-fold, and rho(X) its Picard number. If X contains a prime divisor D with rho(X)-rho(D)>2, then either X is a product of del Pezzo surfaces, or rho(X)=5 or 6. In this setting, we completely classify the case where rho
Externí odkaz:
http://arxiv.org/abs/2007.11229
Publikováno v:
Selecta Math., 27(10), 2021
We prove LeBrun--Salamon conjecture in the following situation: if $X$ is a contact Fano manifold of dimension $2n+1$ whose group of automorphisms is reductive of rank $\geq \max(2,(n-3)/2)$ then $X$ is the adjoint variety of a simple group. The rank
Externí odkaz:
http://arxiv.org/abs/2004.05971
Publikováno v:
Proc. Amer. Math. Soc. 150 (2022), pp. 1381-1395
In this paper we classify varieties of Picard number two having two projective bundle structures of any relative dimension, under the assumption that these structures are mutually uniform. As an application we prove the Campana--Peternell conjecture
Externí odkaz:
http://arxiv.org/abs/2001.06215