منابع مشابه
Professor Valerian P. Bulatov
The 15th Baikal International School-Seminar on OPTIMIZATIONMETHODS AND THEIR APPLICATIONS is dedicated to the memory of Professor Valerian Pavlovich Bulatov.
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James P. Lantolf is George and Jane Greer Professor Emeritus of Language Acquisition and Applied Linguistics and former director of the Center for Advanced Language Proficiency Education and Research at the Pennsylvania State University, USA. He is currently Adjunct Professor of Applied Linguistics in the same academic unit at Xi’an Jiaotong University. He is founder of the Sociocultural Theory...
متن کاملSchematic Harder-Narasimhan Stratification
For any flat family of pure-dimensional coherent sheaves on a family of projective schemes, the Harder-Narasimhan type (in the sense of Gieseker semistability) of its restriction to each fiber is known to vary semicontinuously on the parameter scheme of the family. This defines a stratification of the parameter scheme by locally closed subsets, known as the Harder-Narasimhan stratification. In ...
متن کاملHarder-Narasimhan categories
We propose a generalization of Quillen’s exact category — arithmetic exact category and we discuss conditions on such categories under which one can establish the notion of Harder-Narasimhan filtrations and Harder-Narsimhan polygons. Furthermore, we show the functoriality of Harder-Narasimhan filtrations (indexed by R), which can not be stated in the classical setting of Harder and Narasimhan’s...
متن کاملConvergence of Harder-Narasimhan polygons
We establish in this article convergence results of normalized Harder-Narasimhan polygons both in geometric and in arithmetic frameworks by introducing the HarderNarasimhan filtration indexed by R and the associated Borel probability measure.
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ژورنال
عنوان ژورنال: National Academy Science Letters
سال: 2013
ISSN: 0250-541X,2250-1754
DOI: 10.1007/s40009-013-0169-4