Hartshorne R. — Ample Subvarieties of Algebraic Varieties :: Электронная библиотека попечительского совета мехмата МГУ

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Hartshorne R. — Ample Subvarieties of Algebraic Varieties

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Название: Ample Subvarieties of Algebraic Varieties

Автор: Hartshorne R.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

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Год издания: 1970

Количество страниц: 256

Добавлена в каталог: 15.08.2008

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Предметный указатель

$\Gamma$ -ample      III 4
A-sequence      III 4
Albanese variety of X (Alb X)      III 2 4.15
Algebraizable formal schemes      V 3
Almost base point free dIVisor      II 5
Ample cone ( $P^{0} = P^{0}(x)$ )      I 8
Ample divisor      I 2
Ample vector bundle      III 1
Arithmetic genus ( $p_{a}$ )      III 2
Base locus ( $B_{n}$ of |nD|)      II 5
Base number or the Picard number ( $\rho$ )      I 8
Base point (of a linear system)      I 2
Base point free      I 2
Canonical line bundle (K)      III 2
Cartier divisor      I 1
Chern classes ( $c_{i}(T)$ )      III 2
Cofinite module      III 5
Cohomological dimension of S (cd(S))      III 3
Complete intersection (strict and set-theoretic)      III 5
Complete linear system of dIVisor (|D|)      I 2
Complex-analytic space associated to an algebraic variety S ( $S^{h}$ )      III 7
Cone of curves      I 8
De Rham cohomology (algebraic) ( $H^{i}_{DR}(S)$ )      III 7
De Rham complex (algebraic) ( $\Omega^{*}_{S}$ )      III 7
Differentials ( $\Omega^{1}_{X/k}$ )      III 2
Divisor      I 0 1
Divisor class of a divisor      I 1
Dualizing differentials      III 4
Effective divisor ( $D\geq 0$ )      I 2
Effective Lefschetz condition (Leff(X, Y))      IV 1
Etale neighborhood      V 4.9
Exceptional divisor      I 7
Fitting decomposition ( $V = V_{s}\oplus V_{n}$ )      III 6
Formal-rational functions      V 1
Formal-regular functions      V 1
Frobenius morphism $\pi$       III 6
Functor G      III 6
G1, G2, and G3      V 1
Geometric genus ( $p_{g}$ )      III 2
Graded (S, F)-module ((M,f))      III 6
Integers cd(S), p(S), q(S)      III 3
Intersection number (( $D_{1}\ldots D_{t}. Y$ ))      I 5
Irregularity of X      III 2
Join of two birational varieties ( $J(X_{1}, X_{2})$ )      II 6
Lefschetz condition (effectIVe) (Leff(X, Y))      IV 1
Lefschetz condition (weak) (Lef(X, Y))      IV 1
Line bundle      I 3
Linear system ( $\varrho$ )      I 2
Linearly equivalent divisors ( $D_{1}\sim D_{2}$ )      I 1
Local equation of a divisor      I 1

Locally a complete intersection      III 4
Modification of a scheme      III 4
Monoidal transformation      III 3.13
Negative vector bundle      III 4.14
Nilpotent part ( $V_{n}$ )      III 6
Normal bundle ( $N_{Y/X}$ )      III 2 4
Numerical polynomial      I 5
Numerically effective divisor      I 6
Numerically equivalent curves ( $C_{1}\approx C_{2}$ )      I 8
Numerically equivalent divisors ( $D_{1}\approx D_{2}$ )      I 8
Numerically trivial divisor      I 6
P(S)      III 3
p-linear endomorphism      III 6
Picard group (Pic X)      I 1
Poincare residue      III 8
Pole sheaf ( $\mathfrak{P}_{\xi}$ )      IV 3
Positive line bundle      VI 1
Prime divisor      I 0
Principle divisor      I 1
Projective bundle (scheme) ( $\mathbb{P}(E)$ )      III 1
Proper intersection      III 4
Pseudo-ample cone      I 8
Pseudo-ample divisor      I 6
q(S)      III 3
q-complete complex space      VI 1
q-pseudoconcave complex space      VI 1
q-pseudoconvex complex space      VI 1
q-pseudoconvex function      VI 1
Regular ring      V 1
Regular sequence      III 4
Restricted inverse limit ( $\underline{lim^{'}}$ )      III 6
Ruled surface      I 10
Second plurigenus ( $P_{2}$ )      III 2
Semi-stable vector bundle      I 10
Separates infinitely near points      I 2
Separates points      I 2
Set-theoretic complete intersection      III 5
Stable part ( $V_{S}$ )      III 6
Stable vector bundle      I 10
Stein factorization      III 4
Stein space      VI 1
Support of a divisor (Supp(D))      I 0 1
Tangent bundle ( $T_{X}$ )      III 2
Tautological line bundle ( $\theta_{\mathbb{P}(E)(1)}$ )      III 1
Total transform      I 7
Vector bundle      III 1
Vector bundle (scheme) (V(E))      III 1
Very ample      I 3
Zariski tangent space      I 2
Zeros of a section ( $(s)_{0}$ )      I 2

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