Topology of the intersection of quadrics in ℝ2

1989 ◽  
pp. 280-292 ◽  
Author(s):  
Santiago López de Medrano
Keyword(s):  
Intersection Of Quadrics

scholarly journals Near-optimal parameterization of the intersection of quadrics: III. Parameterizing singular intersections

2008 ◽  
Vol 43 (3) ◽  
pp. 216-232 ◽  
Author(s):  
Laurent Dupont ◽  
Daniel Lazard ◽  
Sylvain Lazard ◽  
Sylvain Petitjean
Keyword(s):  
Intersection Of Quadrics

scholarly journals Some remarks concerning Voevodsky’s nilpotence conjecture

2018 ◽  
Vol 2018 (738) ◽  
pp. 299-312 ◽  
Author(s):  
Marcello Bernardara ◽  
Matilde Marcolli ◽  
Gonçalo Tabuada
Keyword(s):  
Determinantal Varieties ◽  
Linear Sections ◽  
Intersection Of Quadrics

Abstract In this article we extend Voevodsky’s nilpotence conjecture from smooth projective schemes to the broader setting of smooth proper dg categories. Making use of this noncommutative generalization, we then address Voevodsky’s original conjecture in the following cases: quadric fibrations, intersection of quadrics, linear sections of Grassmannians, linear sections of determinantal varieties, homological projective duals, and Moishezon manifolds.

scholarly journals Multiplicity and t-isomultiple ideals

1988 ◽  
Vol 110 ◽  
pp. 81-111 ◽  
Author(s):  
M.E. Rossi ◽  
G. Valla
Keyword(s):  
Local Ring ◽  
Tangent Cone ◽  
Minimal Degree ◽  
Local Version ◽  
Regular Local Ring ◽  
Geometric Result ◽  
Del Pezzo ◽  
Intersection Of Quadrics ◽  
Minimal Multiplicity

Let V be an irreducible non degenerate variety in Pn; a classical geometric result says that degree (V) ≥ codim V + 1 and, if equality holds, V is said to be of minimal degree. Varieties of minimal degree has been classified by Del Pezzo and Bertini and they all are intersections of quadrics. The local version of this result is due to J. Sally who proved that if is a regular local ring and is a Cohen-Macaulay local ring of minimal multiplicity, according to the bound e(R) ≥ height (I) + 1 given by Abhyankar, then the tangent cone of R is intersection of quadrics and it is Cohen-Macaulay.

On the Euler characteristic of an intersection of quadrics

2006 ◽  
Vol 61 (3) ◽  
pp. 551-552 ◽  
Author(s):  
T M Aliashvili ◽  
G N Khimshiashvili
Keyword(s):  
Euler Characteristic ◽  
Intersection Of Quadrics

scholarly journals Near-optimal parameterization of the intersection of quadrics: I. The generic algorithm

2008 ◽  
Vol 43 (3) ◽  
pp. 168-191 ◽  
Author(s):  
Laurent Dupont ◽  
Daniel Lazard ◽  
Sylvain Lazard ◽  
Sylvain Petitjean
Keyword(s):  
Generic Algorithm ◽  
Intersection Of Quadrics
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