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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On cancellation laws in cardinal arithmetic without the axiom of choice
选择公理 基数算术 取消定律
2023/4/17
We survey known results concerning cancellation laws in cardinal arithmetic without the axiom of choice. These results include the cancellation law for Dedekind finite cardinals in cardinal addition a...
A new algebraic and arithmetic framework for interval computations
algebraic arithmetic framework interval computations Numerical Analysis
2011/10/9
Abstract: In this paper we propose some very promissing results in interval arithmetics which permit to build well-defined arithmetics including distributivity of multiplication and division according...
Representations of Higher Adelic Groups and Arithmetic
Representations Higher Adelic Groups Arithmetic
2011/1/17
What do we mean by local ? To get an answer to this question let us start from the following two problems.
Very stable extensions on arithmetic surfaces
Projective curve Semi-stable bundle Secant variety
2010/12/15
Given a line bundle L on a smooth projective curve over the com-plex numbers, we show that a general extension E of L by the trivial line bundle is very stable: line bundles contained in E have degree...