Arrangements of Lines and Algebraic Surfaces

1983 ◽  
pp. 113-140 ◽  
Author(s):  
F. Hirzebruch
Keyword(s):  
Algebraic Surfaces ◽  
Arrangements Of Lines

scholarly journals Links arising from braid monodromy factorizations

2014 ◽  
Vol 23 (02) ◽  
pp. 1450009 ◽  
Author(s):  
Meirav Amram ◽  
Moshe Cohen ◽  
Mina Teicher
Keyword(s):  
Algebraic Surfaces ◽  
Plane Curves ◽  
Local Contribution ◽  
Arrangements Of Lines ◽  
Intersection Points

We investigate the local contribution of the braid monodromy factorization in the context of the links obtained by the closure of these braids. We consider plane curves which are arrangements of lines and conics as well as some algebraic surfaces, where some of the former occur as local configurations in degenerated and regenerated surfaces in the latter. In particular, we focus on degenerations which involve intersection points of multiplicity two and three. We demonstrate when the same links arise even when the local arrangements are different.

Complex Algebraic Surfaces

1996 ◽  
Author(s):  
Arnaud Beauville
Keyword(s):  
Algebraic Surfaces

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

2014 ◽  
Vol 266 ◽  
pp. 80-82 ◽  
Author(s):  
Antonio Algaba ◽  
Fernando Fernández-Sánchez ◽  
Manuel Merino ◽  
Alejandro J. Rodríguez-Luis
Keyword(s):  
Algebraic Surfaces ◽  
Global Dynamics ◽  
Invariant Algebraic Surfaces

scholarly journals Geometrically rational real conic bundles and very transitive actions

2010 ◽  
Vol 147 (1) ◽  
pp. 161-187 ◽  
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.

On $$W_2$$ W 2 -lifting of Frobenius of algebraic surfaces

2015 ◽  
Vol 67 (1) ◽  
pp. 69-83 ◽  
Author(s):  
He Xin
Keyword(s):  
Algebraic Surfaces

Method for intersecting algebraic surfaces with rational polynomial patches

1990 ◽  
Vol 22 (10) ◽  
pp. 645-654 ◽  
Author(s):  
G.A. Kriezis ◽  
P.V. Prakash ◽  
N.M. Patrikalakis
Keyword(s):  
Algebraic Surfaces ◽  
Rational Polynomial
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