Zobrazeno 1 - 10
of 94
pro vyhledávání: '"Artebani, Michela"'
This paper deals with the problem of computing a generating set for the Cox ring $R(X)$ of a smooth projective rational surface $X$ with nef anticanonical class. In case $R(X)$ is finitely generated, we show that the degrees of its generators are eit
Externí odkaz:
http://arxiv.org/abs/2403.09945
In this paper we study the geometry of the $14$ families of K3 surfaces of Picard number four with finite automorphism group, whose N\'eron-Severi lattices have been classified by \`E.B. Vinberg. We provide projective models, we identify the degrees
Externí odkaz:
http://arxiv.org/abs/2011.00475
The moduli space of K3 surfaces $X$ with a purely non-symplectic automorphism $\sigma$ of order $n\geq 2$ is one dimensional exactly when $\varphi(n)=8$ or $10$. In this paper we classify and give explicit equations for the very general members $(X,\
Externí odkaz:
http://arxiv.org/abs/2009.05415
Let $X$ be a projective K3 surface over $\mathbb C$. We prove that its Cox ring $R(X)$ has a generating set whose degrees are either classes of smooth rational curves, sums of at most three elements of the Hilbert basis of the nef cone, or of the for
Externí odkaz:
http://arxiv.org/abs/1909.01267
In this paper we provide a complete classification of non-symplectic automorphisms of order nine of complex K3 surfaces.
Externí odkaz:
http://arxiv.org/abs/1904.02045
We provide a combinatorial characterization of monomial linear systems on toric varieties whose general member is quasismooth. This is given both in terms of the Newton polytope and in terms of the matrix of exponents of a monomial basis.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/1802.06594
A smooth complex projective curve is called pseudoreal if it is isomorphic to its conjugate but is not definable over the reals. Such curves, together with real Riemann surfaces, form the real locus of the moduli space $\mathcal M_g$. This paper deal
Externí odkaz:
http://arxiv.org/abs/1612.06810
Publikováno v:
In Journal of Algebra 1 January 2021 565:598-626
Let $C$ be a smooth curve which is complete intersection of a quadric and a degree $k>2$ surface in $\mathbb{P}^3$ and let $C^{(2)}$ be its second symmetric power. In this paper we study the finite generation of the extended canonical ring $R(\Delta,
Externí odkaz:
http://arxiv.org/abs/1502.00298
We prove that the Borcea-Voisin mirror pairs of Calabi-Yau threefolds admit projective birational models that satisfy the Berglund-H\"ubsch-Chiodo-Ruan transposition rule. This shows that the two mirror constructions provide the same mirror pairs, as
Externí odkaz:
http://arxiv.org/abs/1501.07895