منابع مشابه
Jet and Prolongation Spaces
The notion of a prolongation of an algebraic variety is developed in an abstract setting that generalises the difference and (Hasse) differential contexts. An interpolating map that compares these prolongation spaces with algebraic jet spaces is introduced and studied.
متن کاملJet Spaces and Arc Spaces
Before getting into details, I would like to recall the p-adic inspiration for this theory. Here is a list of things we looked at in Chapter III. (1) Polynomials f ∈ Z[X1, . . . , Xn] and their solutions over Z/pZ ' Zp/pZp, where p is a fixed prime and m ≥ 0. Such a solution can be written as x1 = a10 + a11p+ . . .+ a1mp m , . . . , xn = an0 + an1p+ . . .+ anmp m with ai ∈ {0, . . . , p− 1}. (2...
متن کاملcompactifications and function spaces on weighted semigruops
chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولwavelets, modulation spaces and pseudidifferential operators
مبحث تحلیل زمان-فرکانسی سیگنالها یکی از مهمترین زمینه های مورد بررسی پژوهشگران علوم ÷ایه کاربردی و فنی مهندسی میباشد.در این پایان نامه فضاهای مدولاسیون به عنوان زمینه اصلی این بررسی ها معرفی گردیده اند و نتایج جدیدی که در حوزه های مختلف ریاضی،فیزیک و مهندسی کاربرداساسی و فراوانی دارند استوار و بیان شده اند.به ویژه در این پایان نامه به بررسی و یافتن مقادیر ویژه عملگر های شبه دیفرانسیل با سمبل در...
Generalised Hasse Varieties and Their Jet Spaces
Building on the abstract notion of prolongation developed in [7], the theory of iterative Hasse rings and schemes is introduced, simultaneously generalising difference and (Hasse-)differential rings and schemes. This work provides a unified formalism for studying difference and differential algebraic geometry, as well as other related geometries. As an application, Hasse jet spaces are construc...
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ژورنال
عنوان ژورنال: Journal of the Institute of Mathematics of Jussieu
سال: 2010
ISSN: 1474-7480,1475-3030
DOI: 10.1017/s1474748010000010