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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The de Rham cohomology in characteristic 0
特征0 德拉姆 上同调
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2023/4/19
Discuss [Bha, §2.3-2.4]. See [Dri20, §1.3] for the notion of cones and quasi-ideals. Note that some of the remarks (e.g. Remark 2.2.15) [Bha, §2.2] may not have been covered in Lecture 1. Explain them...
Graphs associated with the map $x \mapsto x+x^{-1}$ in finite fields of characteristic two
Graphs finite fields of characteristic two Number Theory
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2011/9/19
Abstract: In this paper we study the structure of the graphs associated with the iterations of the map $x \mapsto x+x^{-1}$ over finite fields of characteristic two. Formulas are given for the length ...
Values of certain L-series in positive characteristic
L-functions in positive characteristic Drinfeld modular forms function fields of positive characteristic
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2011/9/19
Abstract: We introduce a family of L-series specialising to both L-series associated to certain Dirichlet characters over F_q[T] and to integral values of Carlitz-Goss zeta function associated to F_q[...
The reciprocals of some characteristic 2 "theta series"
theta series Number Theory
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2011/9/16
Abstract: Suppose l=2m+1, m>0. We introduce m "theta-series", [1],...,[m], in Z/2[[x]]. It has been conjectured that the n for which the coefficient of x^n in 1/[i] is 1 form a set of density 0. This ...
Dependence of Betti Numbers on Characteristic
Dependence of Betti Numbers Characteristic
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2010/12/9
We study the dependence of graded Betti numbers of monomial ideals on the characteristic of the
base field. The examples we describe include bipartite ideals, Stanley–Reisner ideals of vertex-decompo...