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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Density of orbits and arithmetic degrees of automorphisms of projective threefolds
射影三重 轨道密度 自同构 算术度
2023/3/9
The Zariski dense orbit conjecture of the arithmetic dynamic is to study the existence of a rational point P with a Zariski dense orbit of a dominant rational self-map f of a projective variety X. Whe...
Density of crystalline points on unitary Shimura varieties
Density of crystalline points unitary Shimura varieties Number Theory
2012/6/6
We prove that crystalline points are dense in the spectrum of the completed Hecke algebra on unitary Shimura varieties.
Abstract: We show that there are sets of integers with asymptotic density arbitrarily close to 1 in which there is no solution to the equation ab=c, with a,b,c in the set. We also consider some natura...
Algebraic density property of Danilov-Gizatullin surfaces
Algebraic density property Danilov-Gizatullin surfaces
2010/9/1
A Danilov-Gizatullin surface is an affine surface V which is the com-plement of an ample section S of a Hirzebruch surface. The remarkable theorem of Danilov and Gizatullin states that the isomorphism...