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Veronese surface

In mathematics, the Veronese surface is an algebraic surface in five-dimensional projective space, and is realized by the Veronese embedding, the embedding of the projective plane given by the complete linear system of conics. It is named after Giuseppe Veronese (1854–1917). Its generalization to higher dimension is known as the Veronese variety.

Veronese map, Biregular & Motivation

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Overview

Definition

Motivation

Veronese map

Biregular

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Veronese surface

Nodes33
Edges32
Triples10
Avg. degree1.94
Density0.060606
Components1

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Veronese surface

Top relations

related to Motivation · 4
Veronese surface → The, The Veronese, Thus, Veronese
is a · 3
Veronese surface → algebraic surface in five-dimensional projective space, image of the mapping ν, only Severi variety of dimension 2 ReferencesJoe Harris
see also · 2
Veronese surface → Severi, The Veronese
related to Definition · 1
Veronese surface → The Veronese

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Important terminology

veronese displaystyle map surface projective space variety degree dimension embedding general conics coordinates given linear known defined five-dimensional projection rational

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Veronese surfaceis aalgebraic surface in five-dimensional projective space0.90text
Veronese surfaceis aimage of the mapping ν0.90text
Veronese surfaceis aonly Severi variety of dimension 2 ReferencesJoe Harris0.90text
Veronese surfacerelated to DefinitionThe Veronese0.60section
Veronese surfacerelated to MotivationThe Veronese0.60section
Veronese surfacerelated to MotivationThe0.60section
Veronese surfacerelated to MotivationVeronese0.60section
Veronese surfacerelated to MotivationThus0.60section
Veronese surfacesee alsoThe Veronese0.60section
Veronese surfacesee alsoSeveri0.60section

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