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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Fields with a generic multiplicative endomorphism
通用乘法 自同态 域
2023/5/4
The theory of fields expanded by a unary function symbol for a multiplicative endomorphism admits a model-companion, we denote it ACFH. It is a new example of an NSOP1 theory which is not simple. I wi...
Pairing-based algorithms for jacobians of genus 2 curves with maximal endomorphism ring
Pairing-based algorithms jacobians of genus 2 curves maximal endomorphism ring Number Theory
2012/4/17
Using Galois cohomology, Schmoyer characterizes cryptographic non-trivial self-pairings of the $\ell$-Tate pairing in terms of the action of the Frobenius on the $\ell$-torsion of the Jacobian of a ge...
We prove that the mass endomorphism associated to the Dirac operator on a Riemannian manifold is non-zero for generic Riemannian metrics.The proof involves a study of the mass endomorphism under surge...
The Bergman property for endomorphism monoids of some Fraïssé limits
Bergman property for endomorphism monoids Fraï ssé limits
2010/12/3
Based on an idea of Y. P´eresse and some results ofMaltcev, Mitchell and Ruˇskuc,we present sufficient conditions under which the endomorphism monoid of an ultrahomogeneous first-order structure...
A universality result for endomorphism monoids of some ultrahomogeneous structures
endomorphism monoid Fra¨ı ss´ e limit pushout
2010/12/7
We devise a fairly general sufficient condition ensuring that the endomorphism monoid of a countably infinite ultrahomogeneous structure (i.e. a Fra¨ıss´e limit) embeds all countable semigr...