Examples of Coherent Sheaves
- On noetherian schemes, the structure sheaf itself.
- Sheaves of sections in vector bundles.
- The Oka coherence theorem shows that the sheaf of holomorphic functions on a complex manifold is coherent.
- Ideal sheaves: If Z is a closed complex subspace of a complex analytic space X, the sheaf IZ of all holomorphic functions vanishing on Z is coherent.
- Structure sheaves of subspaces.
Read more about this topic: Coherent Sheaf
Famous quotes containing the words examples of, examples, coherent and/or sheaves:
“There are many examples of women that have excelled in learning, and even in war, but this is no reason we should bring ‘em all up to Latin and Greek or else military discipline, instead of needle-work and housewifry.”
—Bernard Mandeville (1670–1733)
“There are many examples of women that have excelled in learning, and even in war, but this is no reason we should bring ‘em all up to Latin and Greek or else military discipline, instead of needle-work and housewifry.”
—Bernard Mandeville (1670–1733)
“We have good reason to believe that memories of early childhood do not persist in consciousness because of the absence or fragmentary character of language covering this period. Words serve as fixatives for mental images. . . . Even at the end of the second year of life when word tags exist for a number of objects in the child’s life, these words are discrete and do not yet bind together the parts of an experience or organize them in a way that can produce a coherent memory.”
—Selma H. Fraiberg (20th century)
“Being young you have not known
The fool’s triumph, nor yet
Love lost as soon as won,
Nor the best labourer dead
And all the sheaves to bind.”
—William Butler Yeats (1865–1939)