Tate Resolutions and Weyman Complexes

статья
math.AG
math.AC
Авторы
Организация

Evgeny Materov

ФГБОУ ВО Сибирская пожарно-спасательная академия ГПС МЧС России

David Cox

Department of Mathematics and Computer Science, Amherst College, USA

Дата публикации

октябрь 2011

We construct generalized Weyman complexes for coherent sheaves on projective space and describe explicitly how the differential depend on the differentials in the correpsonding Tate resolution. We apply this to define the Weyman complex of a coherent sheaf on a projective variety and explain how certain Weyman complexes can be regarded as Fourier-Mukai transforms.

Ссылка для цитирования

BibTeX
@article{materov2011,
  author = {Materov, Evgeny and Cox, David},
  title = {Tate {Resolutions} and {Weyman} {Complexes}},
  journal = {Pacific Journal of Mathematics},
  volume = {252},
  pages = {51-68},
  date = {2011},
  url = {https://msp.org/pjm/2011/252-1/p04.xhtml},
  doi = {10.2140/pjm.2011.252.51},
  langid = {en}
}
На публикацию можно сослаться как
Materov, Evgeny, and David Cox. 2011. “Tate Resolutions and Weyman Complexes.” Pacific Journal of Mathematics 252: 51–68. https://doi.org/10.2140/pjm.2011.252.51.