New posts in algebraic-curves

General surface no lines

Algebraic Curves and Second Order Differential Equations

Coordinate ring of the unit circle is never a UFD?

How many elements are in the projective line $\mathbb{P}^{1}(k)$ if k is a finite field

Hartshorne exercise about sheaves on $\mathbb{P}^1$

Abstract Nonsingular Curves

Holomorphic Differentials on a non-singular curve.

Equations for double etale covers of the hyperelliptic curve $y^2 = x^5+1$

Is there a better way to find the polynomial equation for this curve?

Is $x^5+x+5=y^2$ solvable over the integers?

Conic by three points and two tangent lines

Divisor on curve of genus $2$

Why is the extension $k(x,\sqrt{1-x^2})/k$ purely transcendental?

Why is the degree of a rational map of projective curves equal to the degree of the homogeneous polynomials?

What is the minimum background required to understand moduli of curves?

Definition of intersection multiplicity in Hartshorne VS Fulton for plane curves

Looking for elementary proof that irreducible/smooth curve in $\mathbb C^2$ is connected in Euclidean topology of $\mathbb C^2$

Computing the monodromy for a cover of the Riemann sphere (and Puiseux expansions)

Families of curves over number fields

Can there be a point on a Riemann surface such that every rational function is ramified at this point?