Johnsen T., Knutsen A.L. — K3 Projective Models in Scrolls :: Электронная библиотека попечительского совета мехмата МГУ

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Johnsen T., Knutsen A.L. — K3 Projective Models in Scrolls

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Название: K3 Projective Models in Scrolls

Авторы: Johnsen T., Knutsen A.L.

Аннотация:

The exposition studies projective models of K3 surfaces whose hyperplane sections are non-Clifford general curves. These models are contained in rational normal scrolls. The exposition supplements standard descriptions of models of general K3 surfaces in projective spaces of low dimension, and leads to a classification of K3 surfaces in projective spaces of dimension at most 10. The authors bring further the ideas in Saint-Donat's classical article from 1974, lifting results from canonical curves to K3 surfaces and incorporating much of the Brill-Noether theory of curves and theory of syzygies developed in the mean time.

Язык:

Рубрика: Математика/Алгебра/Алгебраическая геометрия/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2004

Количество страниц: 164

Добавлена в каталог: 12.03.2005

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Предметный указатель

$B^{\lambda}$       70
      83
$b_{i,j}^k$       84
      16
$D_{\lambda}$       16 28
      16
      60 83 86
      48
      19
      38
$P(\mathcal{E})$       15
      38
$q_{i,\lambda}$       38
$R_{\lambda}$       71
$S(V^{\lambda})$       70
$V^{\lambda}$       70
      38
      39
$Z^{i,\lambda}$       39
$Z_{\lambda}$       39
$\beta^{\lambda}_{i,j}$       71
$\beta_i$       60 84
$\chi$       10
$\Delta ‘$       130
$\Delta$       22 37
$\Delta_0$       131
$\delta_1$       100 101 105 115
$\delta_2$       100 101 106 115
$\delta_3$       106
$\delta_4$       106
$\delta_{2,i,j}$       115
$\mathcal{A}(L)$       17
$\mathcal{A}^0 (L)$       17
$\mathcal{D}$       36
$\mathcal{E}_H$       65
$\mathcal{F}$       59 68
$\mathcal{F}_{\mathcal{T}}$       69
$\mathcal{H}$       59 68
$\mathcal{H}_0$       68
$\mathcal{H}_{\mathcal{T}}$       69
$\mathcal{M}(\mathcal{T}, c)$       116
$\mathcal{O}_{\mathcal{T}} (a\mathcal{H} + b\mathcal{F})$       86
$\mathcal{R}_{L,D}$       37
$\mathcal{T} = \mathcal{T} (c, D, \{D_{\lambda} \})$       28
$\mathcal{T}_0$       67
$\mu(L)$       17
$\tilde{S}$       64
$\{c, D^2 \}$       131
$\{D_{\lambda}\}$       16 28
(CG1)      125
(CG1)’      127
(CG2)      125
(CG2)’      127
(CG3)      125
(CG3)’      128
(CG4)      125
(CG4)’      128
(CG5)      125
(CG6)      126
(CG7)      126
(E0)      22
(E1)      23
(E2)      23

(E3)      37
(E4)      37
(Q)      22
<Z>      39
A      48
Adjunction formula      10
Arithmetically normal      70
A’      130
Betti-number      71
Big      10
Brill — Noether (BN) general K3 surface      121
Brill — Noether general curve      121 156
Calabi — Yau threefold      156
Clifford dimension      20
Clifford divisor      22
Clifford index of a curve      19
Clifford index of a line bundle on a curve      19
Clifford index of a line bundle on a K3 surface      21
Clifford index of a polarized K3 surface      21
Compute the Clifford dimension      20
Compute the Clifford index      20
Contracted curve      3
Contribute to the Clifford index      20
Enriques surface      157
Euler characteristic      10
Exceptional curve      7 20
f      18 47
Free Clifford divisor      22
General position      74
Gonality      19
Graded Betti-numbers      5 71
Green’s conjecture      5 7
H      64
Hodge index theorem      10
Hyperelliptic curve      3 19
Isolated curve      156
K3 surface      10
Koszul cohomology      4 71
Koszul complex      71
Maximally balanced type      15
Minimal graded free resolution      4 71
Nef      10
Noether’s theorem      3
Perfect Clifford divisor      44
Petri’s theorem      4
Pic S      10
Picard group      10
Picard lattice      10
Property       79
Property       78
R      36 47
Rational normal scroll      15
Rational resolution of singularities      69
Riemann — Roch      10
Rolling factors coordinates      89
Scroll type      16
Smooth plane quintic      4
Syzygy      5
Syzygy theorem      71
S’      29
S’’      65
Trigonal curve      4 19
V      38

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