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searching for Projective bundle 5 found (20 total)

K-theory (4,403 words) [view diff] exact match in snippet view article find links to article

n} . Another important formula for the Grothendieck group is the projective bundle formula: given a rank r vector bundle E {\displaystyle {\mathcal {E}}}

Amalendu Krishna (601 words) [view diff] exact match in snippet view article find links to article

fundamental properties, such as the contravariant functoriality and a projective bundle formula, as well as constructing an action of the usual higher Chow

Ruled surface (2,901 words) [view diff] exact match in snippet view article find links to article

minimal projective ruled surface other than the projective plane is the projective bundle of a 2-dimensional vector bundle over some curve. The ruled surfaces

Moduli space (4,050 words) [view diff] exact match in snippet view article find links to article

space P n {\displaystyle \mathbb {P} ^{n}} . This is given by the projective bundle H i l b d ( P n ) = P ( Γ ( O ( d ) ) ) {\displaystyle {\mathcal {Hilb}}_{d}(\mathbb

Grassmannian (8,402 words) [view diff] exact match in snippet view article find links to article

{E}})} . The quotient homomorphism induces a closed immersion from the projective bundle: P ( G ) → P ( E G r ( k , E ) ) = P ( E ) × S G r ( k , E ) . {\displaystyle