Regularity Bounds by Projection

Wenbo Niu ()
Additional contact information
Wenbo Niu: University of Arkansas, Department of Mathematical Sciences

A chapter in Commutative Algebra, 2021, pp 617-638 from Springer

Abstract: Abstract In this expository paper, we review the method of generic projection that is used to bound the Castelnuovo-Mumford of a projective variety. We extend this method from the classic nonsingular case to the Cohen-Macaulay case. In order to apply this method, one needs to understand the complexity of the fibers of a general projection. In several cases, the method has led to the optimal regularity bound conjectured by Eisenbud-Goto, although the conjecture has been disproved by McCullough-Peeva for singular varieties. We also discuss classical regularity bounds obtained by Castelnuovo and Mumford, and some new results from the recent research.

Keywords: Castelnuovo-Mumford regularity; Eisenbud-Goto conjecture; 13A10; 14Q20 (search for similar items in EconPapers)
Date: 2021
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-89694-2_20

Ordering information: This item can be ordered from
http://www.springer.com/9783030896942

DOI: 10.1007/978-3-030-89694-2_20

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().