1,720,964 research outputs found

    A family of threefolds of general type with canonical map of high degree

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    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

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    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

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    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 pg=0p_g=0

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    In this paper, we study effective, nef and semiample cones of surfaces isogenous to a product of mixed type with pg=0p_g=0. 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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