![A Note on Locally Nilpotent Derivations and Variables of k[X,Y,Z]](http://s1.studyres.com/store/data/005260578_1-37b1c4bbe55693dae2b5b98fbc2c091d-300x300.png)
ALGEBRAIC FORMULAS FOR THE COEFFICIENTS OF HALF
... theta lift (see Corollary 3.4), a result which is of independent interest. The lift maps spaces of weight −2 harmonic weak Maass forms to spaces of weight −1/2 vector valued harmonic weak Maass forms for Mp2 (Z). In Section 2 we recall properties of these theta functions, and in Section 3 we constru ...
... theta lift (see Corollary 3.4), a result which is of independent interest. The lift maps spaces of weight −2 harmonic weak Maass forms to spaces of weight −1/2 vector valued harmonic weak Maass forms for Mp2 (Z). In Section 2 we recall properties of these theta functions, and in Section 3 we constru ...
Formal power series rings, inverse limits, and I
... ring and I ⊆ R is an ideal. We give two alternative descriptions. Consider the set of all sequences of elements of R indexed by N under termwise addition under multiplication: this ring is the same as the product of a family of copies of R index by N. Let CI (R) denote the subring of Cauchy sequence ...
... ring and I ⊆ R is an ideal. We give two alternative descriptions. Consider the set of all sequences of elements of R indexed by N under termwise addition under multiplication: this ring is the same as the product of a family of copies of R index by N. Let CI (R) denote the subring of Cauchy sequence ...
![arXiv:math/9802122v1 [math.CO] 27 Feb 1998](http://s1.studyres.com/store/data/013469206_1-76e512f42e60a4643a93990b56cee184-300x300.png)
![A NOTE ON A THEOREM OF AX 1. Introduction In [1]](http://s1.studyres.com/store/data/002606018_1-a040f94f7e203e575591799a9dc26ca7-300x300.png)
A NOTE ON A THEOREM OF AX 1. Introduction In [1]
... Example 4.4. The formalization of Ga is X + Y and the formalization of Gm is X+Y +XY . Note that the axioms of formal groups correspond to the fact that 0 is the neutral element, so XY is not a formal group. It is easy to see that formal maps between algebraic groups still induce linear maps on thei ...
... Example 4.4. The formalization of Ga is X + Y and the formalization of Gm is X+Y +XY . Note that the axioms of formal groups correspond to the fact that 0 is the neutral element, so XY is not a formal group. It is easy to see that formal maps between algebraic groups still induce linear maps on thei ...
Workshop on group schemes and p-divisible groups: Homework 1. 1
... (iii) Write the ring map corresponding to the Z-group map det : GLn → Gm , and use the irreducibility of det(tij ) over any field (proof?) to deduce that the only group scheme maps from GLn to Gm over a field are detr for r ∈ Z. (iv) What is the scheme-theoretic intersection of SLn and the diagonall ...
... (iii) Write the ring map corresponding to the Z-group map det : GLn → Gm , and use the irreducibility of det(tij ) over any field (proof?) to deduce that the only group scheme maps from GLn to Gm over a field are detr for r ∈ Z. (iv) What is the scheme-theoretic intersection of SLn and the diagonall ...
Computational Classification of Numbers and
... not context-free. There are similar pumping lemmas for the class of regular languages and for some other language classes. (² denotes the empty string.) Fact 2. Let L be a context-free language. Then there is a constant n0 , such that for any z ∈ L with length |z| ≥ n0 , z is a concatenation uvwxy s ...
... not context-free. There are similar pumping lemmas for the class of regular languages and for some other language classes. (² denotes the empty string.) Fact 2. Let L be a context-free language. Then there is a constant n0 , such that for any z ∈ L with length |z| ≥ n0 , z is a concatenation uvwxy s ...
