Источник / закреплённая редакция
Lefschetz (1,1)-theorem (1924), proved here via the Kodaira-Spencer (1953) exponential-sequence argument, as reproduced in Deligne's official CMI Hodge conjecture description
Источник пакета lefschetz.degree_two_1924 · https://www.claymath.org/wp-content/uploads/2022/06/hodge.pdf#remark-iii
- work
- urn:doctrine:math:lefschetz-1-1-1924#LEFSCHETZ_KODAIRA_SPENCER_EXPOSITION
- номер
- https://www.claymath.org/wp-content/uploads/2022/06/hodge.pdf#remark-iii
- вид
- urn:doctrine:math:lefschetz-1-1-1924#treatise
LEFSCHETZ_EXPOSITION_EDITION
- edition
- urn:doctrine:math:lefschetz-1-1-1924#LEFSCHETZ_EXPOSITION_EDITION
- язык
- en
- официальность
- unofficial
- материализация
- PINNED_UNOFFICIAL_COPY
- жизненный цикл
- —
Публикации
| URI | Тип | documentHash | Получено |
|---|---|---|---|
| https://www.claymath.org/wp-content/uploads/2022/06/hodge.pdf | text/plain; charset=utf-8 | sha256:d631f79365fbc569ed92e83e02958b6735188f52072651f93444e7e6428efc0a | 2026-09-17T00:00:00Z |
Фрагменты — 1
remark-iii · lemma · на него ссылаются: 5
en · official · sha256:97e5081e7f24ba889b78ff4d737db1b771947d1e8b99cbc304a0d905e2f290f7EN
(iii) A particular case of (ii) is that the integral linear combinations of classes of divisors (= codimension 1 cycles) are simply the first Chern classes of line bundles. If Z+ - Z- is the divisor of a meromorphic section of L, c1(L) = cl(Z+) - cl(Z-). This is the starting point of the proof given by Kodaira and Spencer [7] of the Hodge conjecture for H^2: a class c in H^2(X,Z) of type (1,1) has image 0 in the quotient H^{0,2} = H^2(X,O) of H^2(X,C), and the long exact sequence of cohomology defined by the exponential exact sequence 0 -> Z -> O -[exp(2 pi i .)]-> O* -> 0 shows that c is the first Chern class of a line bundle.Ссылаются нормы: LefschetzDegree2Direct, LefschetzProof, LefschetzSource, lefschetz-proves-degree2, lefschetz_degree2_established_for
Хэш рядом с текстом — sha256 его точных байтов. Он и есть проверка того, что показанный текст совпадает с закреплённым в пакете: расхождение роняет статику оракула.