1,720,964 research outputs found
Mixed quasi-étale surfaces, new surfaces of general type with p_g=0 and their fundamental group
A family of threefolds of general type with canonical map of high degree
In this note we provide a two-dimensional family of smooth minimal three-folds of general type with canonical map of degree 96, improving the previous known bound of 72
Rigid manifolds of general type with non-contractible universal cover
For each n≥ 3 we give examples of infinitesimally rigid projective manifolds of general type of dimension n with non-contractible universal cover. We provide examples with projective and examples with non-projective universal cover
Generalized Burniat Type surfaces and Bagnera-de Franchis Varieties
In this article we construct three new families of surfaces of general type with pg = q = 0,K2 = 6, and seven new families of surfaces of general type with pg = q = 1,K2 = 6, realizing 10 new fundamental groups. We also show that these families correspond to pairwise distinct irreducible connected components of the Gieseker moduli space of surfaces of general type. We achieve this using two different main ingredients. First we introduce a new class of surfaces, called generalized Burniat type surfaces, and we completely classify them (and the connected components of the moduli space containing them). Second, we introduce the notion of Bagnera-de Franchis varieties: these are the free quotients of an Abelian variety by a cyclic group (not consisting only of translations). For these we develop some basic results
Divisors on surfaces isogenous to a product of mixed type with
In this paper, we study effective, nef and semiample cones of surfaces
isogenous to a product of mixed type with . In particular, we prove that
all reducible fake quadrics are Mori dream surfaces.Comment: 10 pages; v2: Minor changes, final version to appear on Pacific
Journal of Mathematic
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