Algebraic surfaces of general type with
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In this paper, minimal algebraic surfaces of general type with K 2 = 3pg−5 were studied. And they proved that for the case of K 2 ≥ 3, there is no polynomial-time algebraic algebraic surface with k 2 = 2.Abstract:
In this paper, we study minimal algebraic surfaces of general type with K2=3pg−5. Since the case pg≤4 has been studied by Horikawa, Zucconi, and Bauer, we always assume pg≥5 here. We prove that for...read more
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New examples of canonical covers of degree 3
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Sectional genus and the volume of a lattice polytope
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TL;DR: In this paper, the authors construct nine families of projective complex minimal surfaces of general type having the canonical map of degree 8 and irregularity 0 or 1, and for six of these families the canonical system has a non trivial fixed part.
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L'application canonique pour les surfaces de type général
TL;DR: In this paper, the authors discuss the importance of l'application canonique dans la th6orie des courbes alg6briques, and des applications pluricanoniques for the classification of surfaces.
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A bound on the geometric genus of projective varieties
TL;DR: In this paper, the conditions générales d'utilisation (http://www.numdam.org/conditions) of the agreement with the Scuola Normale Superiore di Pisa are described.
Journal Article
Chern invariants of surfaces of general type
TL;DR: In this paper, each card is interconnected to a multiplicity of pneumatic feed ducts via a branch duct which can be selectively placed in communication with any one of the feed duct.