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Confusion about genus-degree formula
algebraic-geometry
complex-geometry
elliptic-curves
Special privilege enjoyed by Elliptic Curves with Complex Multiplication
number-theory
reference-request
algebraic-geometry
algebraic-number-theory
elliptic-curves
How is the hyperplane bundle cut out of $(\mathbb{C}^{n+1})^\ast \times \mathbb{P}^n$?
algebraic-geometry
Basic question: closure of irreducible sets
algebraic-geometry
Why are K3 surfaces minimal?
algebraic-geometry
complex-geometry
k3-surfaces
Prerequisites for studying Hodge theory and the Hodge conjecture
algebraic-geometry
soft-question
riemannian-geometry
hodge-theory
Determine if a conic is degenerate with the determinant.
algebraic-geometry
conic-sections
education
How exact is the functor "tensoring with a locally free sheaf"
algebraic-geometry
sheaf-theory
exact-sequence
Is it a bad idea to study modern algebraic geometry without having any background in smooth manifolds?
algebraic-geometry
education
learning
Conics over fields of characteristic two
algebraic-geometry
Show that a variety has degree 1 if and only if it is linear
algebraic-geometry
Local cohomology with respect to a point. (Hartshorne III Ex 2.5)
algebraic-geometry
sheaf-cohomology
local-cohomology
Theorems in algebraic geometry which have been proved only by using cohomology
algebraic-geometry
big-list
Degree of ample bundle over projective curve is positive
algebraic-geometry
projective-schemes
Vakil's Foundations of Algebraic Geometry, Exercise 7.3.F
algebraic-geometry
Embedding of a variety
algebraic-geometry
sheaf-theory
rational-functions
divisors-algebraic-geometry
projective-varieties
Homeomorphism $(\mathbb{CP}^1)^m/S_m \overset{\sim}{\to} \mathbb{CP}^m$?
general-topology
algebraic-geometry
projective-space
Pull-back of sections of vector bundles
algebraic-geometry
vector-bundles
What is the relationship between different theorems all called Hilbert's Nullstellensatz?
algebraic-geometry
Theorem 5.1. Chapter I in Hartshorne Book's
algebraic-geometry
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