Algebraic Geometry
Description: Algebraic Geometry Quiz | |
Number of Questions: 14 | |
Created by: Aliensbrain Bot | |
Tags: algebraic geometry mathematics mathematical physics |
What is the dimension of the projective space $\mathbb{P}^n$?
What is the degree of the zero polynomial?
What is the equation of the tangent line to the curve $y = x^3 - 2x^2 + x - 1$ at the point $(1, -1)$?
What is the genus of the Riemann surface defined by the equation $y^2 = x^3 + x + 1$?
What is the Hilbert polynomial of the ring $\mathbb{C}[x, y]/(x^2 + y^2)$?
What is the dimension of the variety defined by the equation $x^2 + y^2 + z^2 = 1$?
What is the degree of the divisor $(x-1)(x-2)$ on the Riemann surface $\mathbb{C}/\mathbb{Z}$?
What is the Picard group of the elliptic curve $y^2 = x^3 + x + 1$?
What is the genus of the curve defined by the equation $y^2 = x^5 + x^3 + x$?
What is the degree of the divisor $(x-1)^2$ on the Riemann surface $\mathbb{C}/\mathbb{Z}$?
What is the Picard group of the elliptic curve $y^2 = x^3 + 2x + 1$?
What is the genus of the curve defined by the equation $y^2 = x^6 + x^4 + x^2$?
What is the degree of the divisor $(x-1)^3$ on the Riemann surface $\mathbb{C}/\mathbb{Z}$?
What is the Picard group of the elliptic curve $y^2 = x^3 + 3x + 2$?