New posts in algebraic-curves

How to compute intersection multiplicity of $l,f$ in the improper point or point of $l$ in the infinity $m_\infty$?

algebraic-geometry algebraic-curves

Rational map of curves extends to a morphism if $C$ regular

algebraic-geometry algebraic-curves schemes

Genus 2 - Points at Infinity

algebraic-geometry algebraic-curves

All polynomial parametric curves in $k^2$ are contained in affine algebraic varieties

algebraic-geometry ideals algebraic-curves parametric affine-geometry

What is normal crossing?

algebraic-geometry algebraic-curves

Is there anything special about the hyperelliptic curve that is obtained by gluing the same algebraic curve?

algebraic-geometry complex-geometry elliptic-curves algebraic-curves riemann-surfaces

Prove $X^2+Y^2-1$ is irreducible using geometrical tools.

algebraic-geometry algebraic-curves irreducible-polynomials

Why do varieties with torsion canonical sheaf have finite etale covers with trivial canonical sheaf

number-theory algebraic-geometry algebraic-curves surfaces arithmetic-geometry

How to compute the order $\text{ord}_P (f)$ for $f \in K(C)$

algebraic-geometry algebraic-curves

How to find the number of intersection points between affine curves with multiplicity 2?

geometry algebraic-geometry algebraic-curves affine-geometry

Why does Mumford want to avoid "reduction to Jacobians"?

algebraic-geometry algebraic-curves abelian-varieties

Precise definition of an "algebraic function"

real-analysis algebraic-geometry polynomials algebraic-curves

Nonsingular projective variety of degree $d$

abstract-algebra algebraic-geometry algebraic-curves

Is a cover Galois if and only if it is geometrically Galois

algebraic-geometry algebraic-curves arithmetic-geometry

Is every algebraic curve birational to a planar curve

algebraic-geometry riemann-surfaces algebraic-curves

Affine Algebraic Curve cannot embed to Affine $n$-space

algebraic-geometry algebraic-curves

Could you tell me what is the difference between algebraic set $X$ over $K$ and $K-$rational point $X(K)$?

algebraic-geometry algebraic-curves

What is Riemann-Roch in arithmetic all about?

algebraic-number-theory algebraic-curves

On the automorphisms of the Klein Quartic

geometry finite-groups riemann-surfaces algebraic-curves invariant-theory

Weil and Cartier divisors on a curve

algebraic-geometry algebraic-curves