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quadrics    
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  • classification of quadrics - Mathematics Stack Exchange
    For the real cases (1, 2, 4) I'm fairly convinced of my result: given two quadrics from the same equivalence class, I could always find an affine transformation to transform one into the other For the complex cases (3, 5) I was not as sure, since intuition fails me So in those cases you might want a more reliable proof
  • Short way for conics and quadrics classification and special cases
    $\begingroup$ @JosephHarrison Also, note that i’m studying computer science From what I’ve seen, in maths you (obviously) study geometry much more in depth and you study quadrics as surfaces with a lot of geometry, so I can’t really understand much of the stuff that I find online on quadrics because they are really “geometric-imprinted”
  • Intersection of quadrics - Mathematics Stack Exchange
    First, you should decide whether or not your quadrics are projective Also, you should be asking which field you are working over For example $$ \textbf{Proj}\left( \frac{\mathbb{R}[x,y,z,w]}{x^2 + y^2 + z^2 + w^2} \right) $$ has no solutions, hence it's just the empty variety which cannot intersect any other quadrics in $\mathbb{P}^3(\mathbb
  • Del Pezzo surface of degree 4 is intersection of two quadrics?
    Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
  • Intersecting three quadrics in - Mathematics Stack Exchange
    Complex plane pairs quadrics have eigenvalues with the same sign like diag([1,1,0,0]) which is just the z-axis for real points The solution to this polynomial system may be simpler if the quadrics are already rank deficient (e g cones), so an initial discovery of cone quadrics in the pencil using simple eigenvalue decomposition could simplify
  • algebraic geometry - How to find the equation of the curve defining the . . .
    So I would like to find the intersection of the two quadrics and show that it contains lots of points How would I go about finding the equation which defines the intersection of the two quadrics? Moreover, how do I determine whether the intersection will be a curve, and more specifically an elliptic curve?
  • How to identify quadric surface and quadric curves?
    quadrics; Share Cite Follow edited May 31, 2020 at 23:46 altugkarakurt 771 4 4 silver badges 11 11
  • Space of quadrics - Mathematics Stack Exchange
    Do quadrics form a vector space or something? I can understand that the set of quadrics is closed under scalar multiplication, but what about addition? Also, if there is a notion of dimension, then there must be a notion of basis Do the quadrics defined by the polynomials above form a basis of the space mentioned? Why or why not?
  • Difference between quadric and conic - Mathematics Stack Exchange
    What is the difference between a conic and a quadric? I'm guessing that this depends on your ambient space? I think that conics are just special quadrics and are a codimension 1 object and a quadric is the space that gets cut out by a quadric polynomial in any ambient space? Is that correct? For example, would
  • linear algebra - rank of quadrics - Mathematics Stack Exchange
    Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers





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