The category of cofinite modules for ideals of dimension one and codimension one
- [1] Department of Mathematics, Nara University of Education, Takabatake-cho, Nara, 630-8528, Japan
Actes des rencontres du CIRM (2010)
- Volume: 2, Issue: 2, page 123-126
- ISSN: 2105-0597
Access Full Article
top
How to cite
topKawasaki, Ken-ichiroh. "The category of cofinite modules for ideals of dimension one and codimension one." Actes des rencontres du CIRM 2.2 (2010): 123-126. <http://eudml.org/doc/196281>.
@article{Kawasaki2010,
affiliation = {Department of Mathematics, Nara University of Education, Takabatake-cho, Nara, 630-8528, Japan},
author = {Kawasaki, Ken-ichiroh},
journal = {Actes des rencontres du CIRM},
keywords = {Abelian category; Derived category; Cofinite complex; Cofinite module},
language = {eng},
number = {2},
pages = {123-126},
publisher = {CIRM},
title = {The category of cofinite modules for ideals of dimension one and codimension one},
url = {http://eudml.org/doc/196281},
volume = {2},
year = {2010},
}
TY - JOUR
AU - Kawasaki, Ken-ichiroh
TI - The category of cofinite modules for ideals of dimension one and codimension one
JO - Actes des rencontres du CIRM
PY - 2010
PB - CIRM
VL - 2
IS - 2
SP - 123
EP - 126
LA - eng
KW - Abelian category; Derived category; Cofinite complex; Cofinite module
UR - http://eudml.org/doc/196281
ER -
References
top- K. Eto and K. -i. Kawasaki, A characterization of cofinite complexes over complete Gorenstein domains, to appear in Journal of Commutative Algebra. Zbl1252.13010
- D. Delfino and T. Marley, Cofinite modules and local cohomology, Journal Pure and Applied Algebra, 121 (1997), 45–52. Zbl0893.13005MR1471123
- A. Grothendieck, Local Cohomology, noted by R. Hartshorne, Springer Lecture note in Mathematics, No. 41, Springer-Verlag, Berlin, Heidelberg, New York, (1967). Zbl0185.49202MR224620
- A. Grothendieck, Cohomologie locale des faisceaux cohérants et théorèmes de Lefschetz locaux et globaux (SGA 2), North-Holland, Amsterdam, (1968). Zbl0197.47202MR476737
- R. Hartshorne, Affine duality and cofiniteness, Inventiones Mathematicae, 9 (1970), 145–164. Zbl0196.24301MR257096
- R. Hartshorne, Algebraic Geometry, Graduate Texts in Mathematics, 52, Springer-Verlag, New York Berlin Heidelberg, (1977). Zbl0367.14001MR463157
- R. Hartshorne, Residue and Duality, Springer Lecture note in Mathematics, No. 20, Springer-Verlag, New York, Berlin, Heidelberg, (1966). Zbl0212.26101MR222093
- C. Huneke and J. Koh, Cofiniteness and vanishing of local cohomology modules, Mathematical Proceedings of the Cambridge Philosophical Society, 110 No. 3 (1991), 421–429. Zbl0749.13007MR1120477
- K. -i. Kawasaki, On a category of cofinite modules for principal ideals, preprint. Zbl1247.14003
- K. -i. Kawasaki, On finiteness properties of local cohomology modules over Cohen-Macaulay local rings, Illinois Journal of Mathematics, 52 No 3 (2008), 727–744. Zbl1174.13025MR2546004
- K. -i. Kawasaki, On a category of cofinite modules which is Abelian, Mathematische Zeitschrift, 269 Issue 1 (2011), 587-608. Zbl1228.13020
- J. Lipman, Lectures on Local cohomology and duality, Local cohomology and its applications, Lecture notes in pure and applied mathematics, Vol. 226, Marcel Dekker, Inc., New YorkBasel, (2002), 39–89. Zbl1011.13010MR1888195
- E. Matlis, Injective Modules over noetherian rings, Pacific Journal of Mathematics, 8 (1958), 511–528. Zbl0084.26601MR99360
- L. Melkersson, Modules cofinite with respect to an ideal, Journal of Algebra, 285 (2005), 649–668. Zbl1093.13012MR2125457
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.