منابع مشابه
Generalized Serre duality
We introduce the generalized Serre functor S on a skeletally-small Hom-finite Krull-Schmidt triangulated category C. We prove that its domain Cr and range Cl are thick triangulated subcategories. Moreover, the subcategory Cr (resp. Cl) is the smallest additive subcategory containing all the objects in C which appears as the third term (resp. the first term) of some Aulsander-Reiten triangle in ...
متن کاملExtension functors of generalized local cohomology modules and Serre subcategories
In this paper we present several results concerning the cofiniteness of generalized local cohomology modules.
متن کاملThe Serre Problem on Certain Bounded Domains
We give some new examples for which the Serre problem is solvable by using invariant pseudodistances.
متن کاملCovering Collections and a Challenge Problem of Serre
We answer a challenge of Serre by showing that every rational point on the projective curve X + Y 4 = 17Z is of the form (±1,±2, 1) or (±2,±1, 1). Our approach builds on recent ideas from both Nils Bruin and the authors on the application of covering collections and Chabauty arguments to curves of high rank. This is the only value of c ≤ 81 for which the Fermat quartic X+Y 4 = cZ cannot be solv...
متن کاملThe adjunction problem and a theorem of Serre
In this note we prove injectivity and relative asphericity for “layered” systems of equations over torsion-free groups, when the exponent matrix is invertible over Z. We also give elementary geometric proofs of results due to Bogley–Pride and Serre that are used in the proof of the main theorem. AMS Classification 20E22, 20F05; 57M20, 57Q05
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: Journal of Algebra
سال: 2004
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2003.10.035