The Griffiths bundle is generated by groups
نویسندگان
چکیده
منابع مشابه
Permutation Groups Generated by Binomials
Let G(q) be the group of permutations of Fq generated by those permutations which can be represented as c 7→ ac + bc with a, b ∈ Fq and 0 < m < n < q. We show that there are infinitely many q for which G(q) is the group of all permutations of Fq . This resolves a conjecture of Vasilyev and Rybalkin.
متن کاملOn Groups Generated by the Squares
It was known that the quaternion group and the octic group could not be generated by the squares of any group [5, pp. 193-194]. A natural question is which groups are generated by the squares of some groups. Clearly, groups of odd order and simple groups are generated by their own squares. In this paper, we show in a concrete manner that abelian groups are generated by the squares of some group...
متن کاملCounting the Periodic Groups Generated by Two Finite Groups
In [6] Hickin and Phillips prove the existence of 2 non-isomorphic groups of exponent p for each sufficiently large prime p. The proof uses wreath products and embedding methods and relies on the existence of the infinite p-groups of Novikov and Adjan [7]. Phillips [8] had previously proved the existence of 2° non-isomorphic twogenerator p-groups for each prime p. The main theorem of this paper...
متن کاملThe Griffiths Group of a General Calabi-yau Threefold Is Not Finitely Generated
Fn−k+1H 2n−2k+1(X)∼= F n−k+1A2n−2k+1(X)c dFn−k+1A2n−2k(X) . If (Zt )t∈C is a flat family of codimension k algebraic cycles on X parametrized by a smooth irreducible curve C, the map t → kX(Zt − Z0) factors through a homomorphism from the Jacobian J (C) to J 2k−1(X), and one can show that the image of this morphism is a complex subtorus of J 2k−1(X) whose tangent space is contained in Hk−1,k(X) ...
متن کاملGriffiths Groups of Supersingular Abelian Varieties
The Griffiths group Grr(X) of a smooth projective variety X over an algebraically closed field is defined to be the group of homologically trivial algebraic cycles of codimension r on X modulo the subgroup of algebraically trivial algebraic cycles. The main result of this paper is that the Griffiths group Gr(Ak̄) of a supersingular abelian variety Ak̄ over the algebraic closure of a finite field ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2019
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-019-01899-0