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A constructive approach to the module of...

Barakat, Mohamed...

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A constructive approach to the module of twisted global sections on relative projective spaces by Barakat, Mohamed ( Author )

Content Provider	Lemonjar Open Access
Publisher	-
Publication Date	22-09-2014
Summary	The ideal transform of a graded module M is known to compute the module of twisted global sections of the sheafification of M over a relative projective space. We introduce a second description motivated by the relative BGG-correspondence. However, our approach avoids the full BGG-correspondence by replacing the Tate resolution with the computationally more efficient purely linear saturation and the Castelnuovo-Mumford regularity with the often enough much smaller linear regularity. This paper provides elementary, constructive, and unified proofs that these two descriptions compute the (truncated) modules of twisted global sections. The main argument relies on an established characterization of Gabriel monads.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1409.6100

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AMA 11th EditionReferences

Barakat, Mohamed. A constructive approach to the module of twisted global sections on relative projective spaces. -. September 22, 2014. Accessed October 01, 2025. https://online.provdatabase.com/cite/18030

APA 7th EditionReferences

Barakat, Mohamed. (2014). A constructive approach to the module of twisted global sections on relative projective spaces. . https://online.provdatabase.com/cite/18030

Chicago 17th EditionReferences

Barakat, Mohamed. A constructive approach to the module of twisted global sections on relative projective spaces. . 2014. https://online.provdatabase.com/cite/18030

HarvardReferences

Barakat, Mohamed. (2014). A constructive approach to the module of twisted global sections on relative projective spaces. [Online]. . Available from: https://online.provdatabase.com/cite/18030. (Accessed 01 October 2025).

Harvard AustraliaReferences

Barakat, Mohamed, 2014, A constructive approach to the module of twisted global sections on relative projective spaces, , viewed 01 October 2025, <https://online.provdatabase.com/cite/18030>

MLA 9th EditionWorks Cited

Barakat, Mohamed. A constructive approach to the module of twisted global sections on relative projective spaces. , 2014. PROV Database, https://online.provdatabase.com/cite/18030.

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