Similarly as for manifolds we can also talk about subvarieties.
is a subvariety if it is definined by the vanishing of analytic functions near all points of
Cross-references: near, subset, subvarieties, complex, well defined, manifold, dimension, singular point, regular, complex analytic manifold, variety, implies, closed, zero sets, analytic, holomorphic functions, neighbourhood, point, open set
In botanical nomenclature, a subvariety (subvarietas) is a taxon at a rank below that of variety (varietas) but above that of form (forma): it is an infraspecific taxon.
To indicate the rank, the abbreviation "subvar." should be put before the infraspecific epithet or after the genus name.
New and Old Subvarieties and Natural Maps(Site not responding. Last check: 2007-10-16)
These commands compute the new and r-new subvarieties and quotients of an abelian variety A of level N. The r-new subvariety of A is the intersection of the kernels of all natural maps from A to modular abelian varieties of level N/r.
The new subvariety is the intersection of the r-new subvarieties over all prime divisors r of N. The r-new quotient of A is the quotient of A by the sum of all images in A under all natural maps of abelian varieties of level N/r.
The new subvariety and new quotient of J_0(100) intersect in a finite subgroup isomorphic to Z/12Z x Z/12Z.
[No title](Site not responding. Last check: 2007-10-16)
The {\em $r$-new subvariety} of $A$ is the intersection of the kernels of all natural maps from $A$ to modular abelian varieties of level the level $N/r$.
The {\em $r$-old subvariety} of $A$ is the sum of the images of all natural maps from modular abelian varieties of level $N/r$ to $A$.
The $r$-old quotient of $A$ is the quotient of $A$ by its $r$-new subvariety.
Citebase - Compactifications of subvarieties of tori(Site not responding. Last check: 2007-10-16)
We study compactifications of subvarieties of algebraic tori defined by imposing a sufficiently fine polyhedral structure on their non-archimedean amoebas.
A subvariety X of a torus T is called sch¨ 1 if it has a tropical on compactification with a smooth multiplication map.
X is a closed subvariety of a torus (k ∗)n−1 and X = Pr admits an embedding in Pn−1 such that the hyperplanes Hi are intersections with coordinate hyperplanes of Pn−1.
Subvariety from LiveJournal(Site not responding. Last check: 2007-10-16)
In this paper, we define a Lagrangian subvariety $\Lambda$ of the cotangent bundle of $\bar{G}$ such that the singular support of any character sheaf on $\bar{G}$ is contained in $\Lambda$.
\begin{fact}\label{fact:zknrm} $\Zz k$ is a closed subvariety of $Z$, for all $k$; $\Zz {\deg \nnn + 1}$ is empty, $\Zz 1 = Z$.
Subvariety: There's also a certain variety of Lemmings Syndrome, as yet unnamed, which tends to affect philosophers and statesmen.
www.ljseek.com /search4/Subvariety/1 (621 words)
Research Interests(Site not responding. Last check: 2007-10-16)
Conjecture (André-Oort):Let S be a Shimura variety, and Z an irreducible algebraic subvariety of S containing a Zariski-dense subset of special points.
Lastly, a subvariety Z of A^n is of Hodge type if it is the product of CM points and modular curves.
One can also view a modular subvariety as one which is defined in terms of isogeny relations between the coordinates.
Trace-Zero Subvariety for Cryptosystems(Site not responding. Last check: 2007-10-16)
We present a kind of groups suitable for cryptographic applications: the trace-zero subvariety.
The advantage is that the complexity to compute scalar multiples is lower in most cases as one can make use of the Frobenius endomorphism of the initial curve.
Thus the trace-zero subvariety can be used efficiently in protocols based on the discrete logarithm problem.
AMCA: The subvariety lattice of residuated lattices by Nikolaos Galatos and Petar Markovic(Site not responding. Last check: 2007-10-16)
AMCA: The subvariety lattice of residuated lattices by Nikolaos Galatos and Petar Markovic
We study the structure of the subvariety lattice, provide equational bases for interesting subvarieties, and give a progress report towards the classification of all atoms of
The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts.
We give an explicit description of a non-normal irreducible subvariety of the moduli space of Riemann surfaces of genus $3$ characterized by a non-cyclic group action.
Defining equations of a family of curves representing non-normal points of this subvariety are computed.
We also find defining equations of the family of hyperelliptic curves of genus $3$ whose full automorphism group is $C_2\times C_4$.
Citebase - On nonlinear equations integrable in theta functions of nonprincipally polarized Abelian varieties(Site not responding. Last check: 2007-10-16)
On nonlinear equations integrable in theta functions of nonprincipally polarized Abelian varieties
Authors: Mironov, A. The formula of expanding the Abel variety theta function restricted to Abel subvariety into theta functions of this subvariety is obtained.
With the help of this formula the solution of differential equations with Jacobi theta functions, restricted on a nonprincipally polarized Abel subvariety and their translations are rewritten in terms of the theta functions of these subvarieties.
