Examples of 'abelian varieties' in a sentence
Meaning of "abelian varieties"
abelian varieties - In mathematics, abelian varieties are complete, connected, complex algebraic groups
How to use "abelian varieties" in a sentence
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abelian varieties
Elliptic curves are examples for abelian varieties.
Abelian varieties with complex multiplication and modular functions.
For more developments see arithmetic of abelian varieties.
He carries out calculations on abelian varieties and studies their application to cryptology.
For further developments see arithmetic of abelian varieties.
During this period he worked on Abelian varieties and their endomorphism algebras.
Any abelian variety is isogenous to a product of simple abelian varieties.
Chapter 1 is an introduction to abelian varieties and complex multiplication theory.
Tate and Serre collaborated on a paper on good reduction of abelian varieties.
For abelian varieties and curves there is an elementary description of ℓ-adic cohomology.
Galois representations associated to abelian varieties.
Since they are complex tori, abelian varieties carry the structure of a group.
Kenji Fukaya was able to establish elements of the conjecture for abelian varieties.
They parametrize isomorphism classes of abelian varieties with some additional data.
The Siegel modular forms are recognised as part of the moduli theory of abelian varieties.
See also
He also gave the first example of abelian varieties with finite Tate-Shafarevich group.
We also generalize our method to higher-dimensional abelian varieties.
Another name for abelian varieties of CM-type is abelian varieties with sufficiently many complex multiplications.
Complex multiplication of abelian varieties.
Abelian varieties have Kodaira dimension 0.
They also play a part in the theory of abelian varieties and their isogenies.
Finally we explain the relations between different conjectures concerning the Lehmer 's problem on Abelian varieties.
Arithmetic Chow groups Arithmetic of abelian varieties Abelian variety.
Examples of abelian varieties are elliptic curves, Jacobian varieties and K3 surfaces.
This structure plays a crucial role in the construction of abelian varieties with desirable properties.
Abelian varieties and p-divisible groups.
Then, we deal with formal groups of abelian varieties.
Abelian Varieties 2nd ed.
The conjecture is also known to hold for curves, surfaces and abelian varieties.
Abstract, My thesis looks at ordinary abelian varieties defined with maximal real multiplication.
One chapter concerns the ranks of Mumford-Tate groups of complex abelian varieties.
Category, Abelian varieties.
The algebraic ones are exactly the 2-dimensional abelian varieties.
In mathematics, the Honda-Tate theorem classifies abelian varieties over finite fields up to isogeny.
In the early 1970s, Barry Mazur considered generalizations of Iwasawa theory to abelian varieties.
There is a generalisation of Serge Lang to abelian varieties ( Lang, Abelian Varieties ).
André Weil, Courbes algébriques et variétés abéliennes, 1948 The first modern text on abelian varieties.
Oort 's research deals with, among other topics, abelian varieties and their modules.
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