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genus of a surface

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  • Surface — This article discusses surfaces from the point of view of topology. For other uses, see Differential geometry of surfaces, algebraic surface, and Surface (disambiguation). An open surface with X , Y , and Z contours shown. In mathematics,… …   Wikipedia

  • Genus (mathematics) — In mathematics, genus has a few different, but closely related, meanings:TopologyOrientable surfaceThe genus of a connected, orientable surface is an integer representing the maximum number of cuttings along closed simple curves without rendering …   Wikipedia

  • Genus-2 surface — A genus 2 surface. In mathematics, a genus 2 surface (also known as a double torus or two holed torus) is a surface formed by the connected sum of two tori. That is to say, from each of two tori the interior of a disk is removed, and the… …   Wikipedia

  • Genus–degree formula — In classical algebraic geometry, the genus–degree formula relates the degree d of a non singular plane curve with its arithmetic genus g via the formula: A singularity of order r decreases the genus by .[1] Proofs The proof follows immediately… …   Wikipedia

  • Surface of general type — In algebraic geometry, a surface of general type is an algebraic surface with Kodaira dimension 2.These are all algebraic, and in some sense most surfaces are in this class. ClassificationGieseker showed that there is a coarse moduli scheme for… …   Wikipedia

  • Surface of class VII — In mathematics, surfaces of class VII are non algebraic complex surfaces studied by (Kodaira 1964, 1968) that have Kodaira dimension −∞ and first Betti number 1. Minimal surfaces of class VII (those with no rational curves with self… …   Wikipedia

  • Surface de Bolza — Représentation en perspective de l équation y2 = x5 − x dans . En mathématiques, la surface de Bolza (du nom d Oskar Bolza) est une surface de Riemann compacte de g …   Wikipédia en Français

  • genus Culex — noun type genus of the Culicidae: widespread genus of mosquitoes distinguished by holding the body parallel to the resting surface • Syn: ↑Culex • Hypernyms: ↑arthropod genus • Member Holonyms: ↑Culicidae, ↑family Culicidae …   Useful english dictionary

  • genus Branchiobdella — noun type genus of the Branchiobdellidae: a small worm that lives on the gills or surface of a crayfish attached by a sucker • Syn: ↑Branchiobdella • Hypernyms: ↑worm genus • Member Holonyms: ↑Branchiobdellidae, ↑family Branchiobdellidae …   Useful english dictionary

  • genus Lemna — noun minute aquatic herbs floating on or below the water surface of still water consisting of a leaflike frond or plant body and single root • Syn: ↑Lemna • Hypernyms: ↑monocot genus, ↑liliopsid genus • Member Holonyms: ↑Lemnaceae, ↑family… …   Useful english dictionary

  • genus Lycaena — noun type genus of the Lycaenidae; small slender butterflies with upper surface of wings usually metallic blue or green or copper • Syn: ↑Lycaena • Hypernyms: ↑arthropod genus • Member Holonyms: ↑Lycaenidae, ↑family Lycaenidae …   Useful english dictionary

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