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Topological methods of algebraic geometry

Table of contents

Hodge theory

Arithmetic genus

Brauer group

Cartan's theorems A and B

Chow group

Coherent duality

Coherent sheaf

Essentially finite vector bundle

Fundamental group scheme

Genus of a multiplicative sequence

Grothendieck–Riemann–Roch theorem

Hirzebruch–Riemann–Roch theorem

Kodaira vanishing theorem

Lefschetz hyperplane theorem

Motive (algebraic geometry)

Nakano vanishing theorem

Nori-semistable vector bundle

Riemann–Roch theorem

Riemann–Roch theorem for surfaces

Serre duality

Tate conjecture

Étale fundamental group

 Ancestors (5)

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