Decent intersection and Tor-rigidity for modules over local hypersurfaces
نویسندگان
چکیده
منابع مشابه
Decency and Rigidity over Hypersurfaces
We study two properties of modules over an equicharacteristic or unramified local hypersurface R: decency and rigidity. We show that the vanishing of Hochster’s function θ(M,N), known to imply decent intersection, also implies rigidity. We investigate the vanishing of θ(M,N) to obtain new results about decency and rigidity over hypersurfaces. We employ a mixture of techniques from Commutative A...
متن کاملExactness, Tor and Flat Modules Over
In this paper, we principally explore flat modules over a commutative ring with identity. We do this in relation to projective and injective modules with the help of derived functors like Tor and Ext. We also consider an extension of the property of flatness and induce analogies with the “special cases” occurring in flat modules. We obtain some results on flatness in the context of a noetherian...
متن کاملSymplectic Rigidity for Anosov Hypersurfaces
There is a canonical exact symplectic structure on the unit tangent bundle of a Riemannian manifold M given by pulling-back the symplectic two form ω and Liouville one form λ from the cotangent bundle T ∗M using the Riemannian metric. The pull-back of λ gives a contact form on level-sets of the length function on TM . The geodesic flow of M is given by the Reeb vectorfield of this contact struc...
متن کاملSome Observations on Local and Projective Hypersurfaces
Let R be a hypersurface in an equicharacteristic or unramified regular local ring. For a pair of modules (M, N) over R we study applications of rigidity of Tor(M, N), based on ideas by Huneke, Wiegand and Jorgensen. We then focus on the hypersurfaces with isolated singularity and even dimension, and show that modules over such rings behave very much like those over regular local rings. Connecti...
متن کاملModules with copure intersection property
In this paper, we investigate the modules with the copure intersection property and obtained obtain some related results.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2012
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-2012-05574-7