Topology of Real Algebraic Varieties

1998 ◽  
pp. 263-296
Author(s):  
Jacek Bochnak ◽  
Michel Coste ◽  
Marie-Françoise Roy
Keyword(s):  
Algebraic Varieties ◽  
Real Algebraic Varieties

scholarly journals The topology of Real Algebraic Varieties

2000 ◽  
Vol 2000 (1) ◽  
pp. 197-231 ◽  
Author(s):  
János Kollár
Keyword(s):  
Algebraic Varieties ◽  
Real Algebraic Varieties

scholarly journals Toric completions and bounded functions on real algebraic varieties

2016 ◽  
Vol 94 (2) ◽  
pp. 598-616
Author(s):  
Daniel Plaumann ◽  
Claus Scheiderer
Keyword(s):  
Algebraic Varieties ◽  
Real Algebraic Varieties ◽  
Bounded Functions

Real algebraic varieties and cobordism

2007 ◽  
Vol 71 (3) ◽  
pp. 573-601
Author(s):  
Vyacheslav A Krasnov
Keyword(s):  
Algebraic Varieties ◽  
Real Algebraic Varieties

scholarly journals On homology classes represented by real algebraic varieties

1998 ◽  
Vol 44 (1) ◽  
pp. 21-35 ◽  
Author(s):  
Jacek Bochnak ◽  
Wojciech Kucharz
Keyword(s):  
Algebraic Varieties ◽  
Real Algebraic Varieties

Sheets of Real Analytic Varieties

1960 ◽  
Vol 12 ◽  
pp. 51-67
Author(s):  
Andrew H. Wallace
Keyword(s):  
General Idea ◽  
Algebraic Varieties ◽  
Analytic Variety ◽  
Analytic Case ◽  
Real Algebraic Varieties ◽  
Analytic Varieties ◽  
Local Properties ◽  
Real Analytic ◽  
Real Analytic Variety

In a previous paper (4) the author worked out some results on the analytic connectivity properties of real algebraic varieties, that is to say, properties associated with the joining of points of the variety by analytic arcs lying on the variety. It is natural to ask whether these properties can be carried over to analytic varieties, since the proofs in the algebraic case depend mainly on local properties. But although this generalization can be carried out to a large extent, there are, nevertheless, difficulties in the analytic case, owing mainly to the fact (cf. 2, § 11) that a real analytic variety may not be definable by means of a set of global equations. Thus, although the general idea of the treatment given here is the same as in (4), some variation in the details of the method has proved to be necessary, and some of the final results are slightly weaker in form.

scholarly journals Virtual Betti numbers of real algebraic varieties

2003 ◽  
Vol 336 (9) ◽  
pp. 763-768 ◽  
Author(s):  
Clint McCrory ◽  
Adam Parusiński
Keyword(s):  
Betti Numbers ◽  
Algebraic Varieties ◽  
Real Algebraic Varieties
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