Seshadri constants and very ample divisors on algebraic surfaces

Brian Harbourne

doi:10.1515/crll.2003.044

Seshadri constants and very ample divisors on algebraic surfaces

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.2003.044 ◽

2003 ◽

Vol 2003 (559) ◽

Author(s):

Brian Harbourne

Keyword(s):

Algebraic Surfaces ◽

Seshadri Constants ◽

Ample Divisors

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Seshadri constants on algebraic surfaces

Mathematische Annalen ◽

10.1007/s002080050272 ◽

1999 ◽

Vol 313 (3) ◽

pp. 547-583 ◽

Cited By ~ 27

Author(s):

Thomas Bauer

Keyword(s):

Algebraic Surfaces ◽

Seshadri Constants

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On 2-very ample divisors of genus ⩽8 on algebraic surfaces

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/bf01759377 ◽

1998 ◽

Vol 174 (1) ◽

pp. 351-360

Author(s):

Marco Franciosi

Keyword(s):

Algebraic Surfaces ◽

Ample Divisors

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Complex Algebraic Surfaces

10.1017/cbo9780511623936 ◽

1996 ◽

Cited By ~ 101

Author(s):

Arnaud Beauville

Keyword(s):

Algebraic Surfaces

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Scan line display of algebraic surfaces

Proceedings of the 16th annual conference on Computer graphics and interactive techniques - SIGGRAPH '89 ◽

10.1145/74333.74348 ◽

1989 ◽

Cited By ~ 5

Author(s):

Thomas W. Sederberg ◽

Alan K. Zundel

Keyword(s):

Algebraic Surfaces ◽

Scan Line

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Comments on ‘Global dynamics of the generalized Lorenz systems having invariant algebraic surfaces’

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2013.06.008 ◽

2014 ◽

Vol 266 ◽

pp. 80-82 ◽

Cited By ~ 7

Author(s):

Antonio Algaba ◽

Fernando Fernández-Sánchez ◽

Manuel Merino ◽

Alejandro J. Rodríguez-Luis

Keyword(s):

Algebraic Surfaces ◽

Global Dynamics ◽

Invariant Algebraic Surfaces

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Geometrically rational real conic bundles and very transitive actions

Compositio Mathematica ◽

10.1112/s0010437x10004835 ◽

2010 ◽

Vol 147 (1) ◽

pp. 161-187 ◽

Cited By ~ 6

Author(s):

Jérémy Blanc ◽

Frédéric Mangolte

Keyword(s):

Automorphism Groups ◽

Algebraic Surfaces ◽

Algebraic Models ◽

Transitive Automorphism ◽

Real Locus ◽

Real Algebraic Surfaces ◽

Conic Bundles ◽

Transitive Actions ◽

Insight Into

AbstractIn this article we study the transitivity of the group of automorphisms of real algebraic surfaces. We characterize real algebraic surfaces with very transitive automorphism groups. We give applications to the classification of real algebraic models of compact surfaces: these applications yield new insight into the geometry of the real locus, proving several surprising facts on this geometry. This geometry can be thought of as a half-way point between the biregular and birational geometries.

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