query: The twisted cubic curve in $\mathbb P^3$
positive_passages.docid: 144545
positive_passages.text: Ideal of the twisted cubic
negative_passages.docid: 124864
negative_passages.text: A not free $\mathbb{Z}$-module
negative_passages.docid: 148633
negative_passages.text: Description of varieties in $\mathbb{P}^2\times \mathbb{P}^1$
negative_passages.docid: 27735
negative_passages.text: Morphism to Projective Space $\mathbb{P}^m$
negative_passages.docid: 45302
negative_passages.text: Finding the $\mathbb{Q}$-automorphisms of the splitting field of $x^p-2$ over $\mathbb{Q}$.
negative_passages.docid: 31451
negative_passages.text: Proving a subring of $\mathbb{Q}$ containing $\mathbb{Z}$ is a PID
negative_passages.docid: 155291
negative_passages.text: Prove that for any piecewise smooth curve it is possible to find the parametrisation
negative_passages.docid: 40502
negative_passages.text: The Degree of Zero Polynomial.
negative_passages.docid: 2235
negative_passages.text: Showing $\text{Aut}_\mathsf{Grp}(\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2\mathbb{Z}) \cong S_3$
negative_passages.docid: 126094
negative_passages.text: Hartshorne Algebraic Geometry Exercise II.2.16.
negative_passages.docid: 131366
negative_passages.text: Cyclotomic polynomial
negative_passages.docid: 149381
negative_passages.text: Relating the base-p periodic expansion of a rational to its p-adic representation
negative_passages.docid: 95221
negative_passages.text: Is the cuspidal cubic $\{y^2 = x^3\} \subset \Bbb R^2$ not smooth?
negative_passages.docid: 103763
negative_passages.text: Minimal polynomial of $\sqrt{2}+\sqrt{3}$ over $\mathbb Q$
negative_passages.docid: 88206
negative_passages.text: Image of a line in $\mathbb{P}^2$ under Veronese embedding
negative_passages.docid: 25290
negative_passages.text: Determine the number of irreducible monic polynomials of degree 3 in $\mathbb F_p[x]$
negative_passages.docid: 111183
negative_passages.text: Nonsingular projective variety of degree $d$