Serre dimension and stability conditions
نویسندگان
چکیده
We study relations between the Serre dimension defined as growth of entropy functor and global Bridgeland stability conditions due to Ikeda–Qiu. A fundamental inequality infimum dimensions is proved. Moreover, we characterize Gepner type on fractional Calabi–Yau categories via dimension, classify triangulated lower than one with a condition.
منابع مشابه
Serre Weights and Breuil’s Lattice Conjecture in Dimension Three
We prove in generic situations that the lattice in a tame type induced by the completed cohomology of a U(3)-arithmetic manifold is purely local, i.e., only depends on the Galois representation at places above p. This is a generalization to GL3 of the lattice conjecture of Breuil. In the process, we also prove the geometric Breuil-Mézard conjecture for (tamely) potentially crystalline deformati...
متن کاملdedekind modules and dimension of modules
در این پایان نامه، در ابتدا برای مدول ها روی دامنه های پروفر شرایط معادل به دست آورده ایم و خواصی از ددکیند مدول ها روی دامنه های پروفر مشخص کرده ایم. در ادامه برای ددکیند مدول های با تولید متناهی روی حلقه های به طور صحیح بسته شرایط معادل به دست آورده ایم و ددکیند مدول های ضربی را مشخص کرده ایم. گزاره هایی در مورد بعد ددکیند مدول ها بیان کرده ایم. در پایان، قضایای lying over و going down را برا...
15 صفحه اولNuclear dimension and Z-stability
Simple, separable, unital, monotracial and nuclear C∗-algebras are shown to have finite nuclear dimension whenever they absorb the Jiang–Su algebraZ tensorially. This completes the proof of the Toms–Winter conjecture in the unique trace case. The structure theory of simple nuclearC∗-algebras is currently undergoing revolutionary progress, driven by the discovery of regularity properties of vari...
متن کاملSerre Duality and Applications
We carefully develop the theory of Serre duality and dualizing sheaves. We differ from the approach in [12] in that the use of spectral sequences and the Yoneda pairing are emphasized to put the proofs in a more systematic framework. As applications of the theory, we discuss the RiemannRoch theorem for curves and Bott’s theorem in representation theory (following [8]) using the algebraic-geomet...
متن کاملComplementarity and stability conditions
Article history: Received 5 August 2016 Received in revised form 5 June 2017 Accepted 5 June 2017 Available online 8 June 2017 Editor: B. Grinstein We discuss the issue of complementarity between the confining phase and the Higgs phase for gauge theories in which there are no light particles below the scale of confinement or spontaneous symmetry breaking. We show with a number of examples that ...
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: Mathematische Zeitschrift
سال: 2021
ISSN: ['1432-1823', '0025-5874']
DOI: https://doi.org/10.1007/s00209-021-02718-6