1,720,975 research outputs found
On surfaces with pg = q = 2, k2 = 5 and albanese map of degree 3
No full textWe construct a connected, irreducible component of the moduli space of minimal surfaces of general type with pg = q = 2 and K2 = 5, which contains both examples given by Chen-Hacon and the first author. This component is generically smooth of dimension 4, and all its points parametrize surfaces whose Albanese map is a generically finite triple cover
On asymptotic bounds for the number of irreducible components of the moduli space of surfaces of general type II
No full textIn this paper we investigate the asymptotic growth of the number of irreducible and connected components of the moduli space of surfaces of general type corresponding to certain families of surfaces isogenous to a higher product with group (Z/2Z)k. We obtain a significantly higher growth than the one in our previous paper [LP14]
Surfaces Isogenous to a Product of Curves, Braid Groups and Mapping Class Groups
No full textWe present some group theoretical methods to give bounds on the number of connected components of the moduli space of surfaces of general type, focusing on some families of regular surfaces isogenous to a product of curves
A new family of surfaces with pg=q=2 and K2=6 whose Albanese map has degree 4
No full textWe construct a new family of minimal surfaces of general type with pg = q = 2 and K2 = 6,
whose Albanese map is a quadruple cover of an abelian surface with polarization of type
(1, 3). We also show that this family provides an irreducible component of the moduli space
of surfaces with pg = q = 2 and K2 = 6. Finally, we prove that such a component is generically
smooth of dimension 4 and that it contains the two-dimensional family of product–quotient
examples previously constructed by the first author. The main tools we use are the Fourier–Mukai
transform and the Schr ̈odinger representation of the finite Heisenberg group H3
A note on surfaces with <i>p<sub>g</sub> </i> = <i>q</i> = 2 and an irrational fibration
No full textAbstract
We study several examples of surfaces with pg
= q = 2 and maximal Albanese dimension that are endowed with an irrational fibration.</jats:p
New fourfolds from F-theory
Full text linkIn this paper, we apply Borcea-Voisin's construction and give new examples of fourfolds containing a del Pezzo surface of degree six, which admit an elliptic fibration on a smooth threefold. Some of these fourfolds are CalabiYau varieties, which are relevant for the N = 1 compactification of Type IIB string theory known as F- theory. As a by- product, we provide a new example of a Calabi- Yau threefold with Hodge numbers h(1,1) = h(2,1) = 10
K3 surfaces with a non-symplectic automorphism and product-quotient surfaces
No full textWe classify all the K3 surfaces which are minimal models of the quotient of the product of two curves C 1 ×C 2 by the diagonal action of either the group \Z/p\Z or the group \Z/2p\Z. These K3 surfaces admit a non-symplectic automorphism of order p induced by an automorphism of one of the curves C_1 or C_2 . We prove that most of the K3 surfaces admitting a non-symplectic automorphism of order p (and in fact a maximal irreducible component of the moduli space of K3 surfaces with a non-symplectic automorphism of order p ) are obtained in this way.Inaddition, we show that one can obtain the same set of K3 surfaces under more restrictive assumptions namely one of the two curves, say C_2 , is isomorphic to a rigid hyperelliptic curve with an automorphism \delta_p of order p and the automorphism of the K3 surface is induced by \delta_p. Finally, we describe the variation of the Hodge structures of the surfaces constructed and we give an equation for some of them
ON ASYMPTOTIC BOUNDS FOR THE NUMBER OF IRREDUCIBLE COMPONENTS OF THE MODULI SPACE OF SURFACES OF GENERAL TYPE
No full textIn this paper we investigate the asymptotic growth of the number of irreducible and connected components of the moduli space of surfaces of general type corresponding to certain families of surfaces isogenous to a higher product. We obtain a higher growth then the previous growth by Manetti (Topology 36:745–764, 1997)
The classification of isotrivially fibred surfaces with p_g=q=2, and topics on Beauville surfaces
No full textAn isotrivially fibred surface is a smooth projective surface endowed with a morphism onto a curve such that all the smooth fibres are isomorphic to each other. The first goal of this paper is to classify the isotrivially fibred surfaces with pg = q = 2 completing and extending a result of Zucconi. As an important byproduct, we provide new examples of minimal surfaces of general type with pg = q = 2 and K2 = 4, 5 and a first example with K2 = 6
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