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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...
ANOMALY CANCELLATION AND MODULARITY II: THE E8 × E8 CASE
ANOMALY CANCELLATION MODULARITY II THE E8 × E8 CASE
2018/4/19
In this paper we show that both of the Green-Schwarz anomaly factorization formulafor the gauge group E8 × E8 and the Hoˇrava-Witten anomaly factorization formula for the gaugegroup E8 can be derived ...
It has been shown that the Alvarez-Gaum′e-Witten miraculous anomaly cancellation formula in type IIB superstring theory and its various generalizations can be derived from modularity of certain charac...
A note on modular forms and generalized anomaly cancellation formulas
Modular invariance Anomaly cancellation formulas
2018/4/19
By studying modular invariance properties of some characteristic forms, we prove some new anomaly cancellation formulas which generalize the Han-Zhang and Han-Liu-Zhang anomaly cancellation formulasKe...
A note on modular forms and generalized anomaly cancellation formulas
Modular invariance Anomaly cancellation formulas
2018/4/19
By studying modular invariance properties of some characteristic forms, we prove some new anomaly cancellation formulas which generalize the Han-Zhang and Han-Liu-Zhang anomaly cancellation formulas
Modular forms and generalized anomaly cancellation formulas
Modular forms generalized anomaly cancellation formulas
2018/4/19
In this paper, we generalize the anomaly cancellation formulas in [1, 12, 7] to the cases that an auxiliary bundle W as well as a complex line bundle are involved with no conditions on the first Pon...
Affine open subsets in A^3 without the cancellation property
Cancellation problem Koras-Russell threefolds Algebraic Geometry
2011/9/1
Abstract: We give families of examples of principal open subsets of the affine space \mathbb{A}^{3} which do not have the cancellation property. We show as a by-product that the cylinders over Koras-R...
Let A be an affine algebra of dimension d>3 over the field k, where k is the algebraic closure of the finite field Z/pZ, where p\geq d. Let P be a projective A-module of rank d-1. Then P is cancellati...
In this paper, we consider a Gaussian multiple access channel with multiple independent additive white Gaussian interferences. Each interference is known to exactly one transmitter non-causally. The ...
Local Quasiconvexity of Groups acting on Small Cancellation Complexes
Local quasiconvexity Coherence Small-cancellation Relative hyperbolicity
2010/12/8
Given a group acting cellularly and cocompactly on a simply-connected 2-complex, we provide a criterion establishing that all finitely generated subgroups have quasiconvex orbits. This work generalize...
Distributed Interference Cancellation in Multiple Access Channel with Transmitter Cooperation
Distributed Interference Cancellation Multiple Access Channel Transmitter Cooperation
2010/12/9
We consider a two-user Gaussian multiple access channel with two independent additive white Gaussian interferences.Each interference is known to exactly one transmitter non-causally.
Distributed STBCs with Partial Interference Cancellation Decoding
Distributed STBCs Partial Interference Cancellation Decoding
2010/12/8
Recently, Guo and Xia introduced low complexity decoders called Partial Interference ancellation (PIC) and PIC with Successive Interference Cancellation (PIC-SIC), which include the Zero Forcing (ZF) ...
GRAVITATIONAL ANOMALY CANCELLATION AND MODULAR INVARIANCE
GRAVITATIONAL ANOMALY CANCELLATION AND MODULAR INVARIANCE
2018/4/19
In this paper, by combining modular forms and characteristicforms, we obtain general anomaly cancellation formulas of any dimension. For4k + 2 dimensional manifolds, our results include the gravitatio...