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searching for Proper morphism 6 found (34 total)

H topology (1,860 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \{X'\to X,Z\to X\}} where X ′ → X {\displaystyle X'\to X} is a proper morphism of finite presentation, Z → X {\displaystyle Z\to X} is a closed immersion

Arakelov theory (1,562 words) [view diff] exact match in snippet view article find links to article

of sheaves, and states that ch(f*(E))= f*(ch(E)TdX/Y), where f is a proper morphism from X to Y and E is a vector bundle over f. The arithmetic Riemann–Roch

Fundamental group scheme (1,680 words) [view diff] exact match in snippet view article find links to article

is perfect and X→Spec(k){\displaystyle X\to {\text{Spec}}(k)} is a proper morphism of schemes with X{\displaystyle X} reduced and connected scheme. Assuming

Moduli stack of elliptic curves (2,223 words) [view diff] exact match in snippet view article find links to article

scheme as elliptic curves have non-trivial automorphisms. There is a proper morphism of M1,1{\displaystyle {\mathcal {M}}_{1,1}} to the affine line, the

Étale cohomology (5,016 words) [view diff] exact match in snippet view article find links to article

sheaf F. Here j is any open immersion of X into a scheme Y with a proper morphism g to S (with f = gj), and as before the definition does not depend

Algebraic K-theory (10,382 words) [view diff] exact match in snippet view article find links to article

Chern character and Todd class of X. Additionally, he proved that a proper morphism f : X → Y to a smooth variety Y determines a homomorphism f* : K(X)