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STRONGLY ESSENTIAL FLOWS ON IRREDUCIBLE PARABOLIC GEOMETRIES
STRONGLY ESSENTIAL FLOWS GEOMETRIES
2015/10/14
We study the local geometry of irreducible parabolic geometries admitting
strongly essential
ows; these are
ows by local automorphisms with higher-order xed
points. We prove several new rigidit...
ESSENTIAL KILLING FIELDS OF PARABOLIC GEOMETRIES: PROJECTIVE AND CONFORMAL STRUCTURES
PARABOLIC GEOMETRIES PROJECTIVE
2015/10/14
We use the general theory developed in our article [1]
in the setting of parabolic geometries to reprove known results on
special in nitesimal automorphisms of projective and conformal
geometries.
We study vector elds generating a local
ow by automorphisms of a parabolic geometry with higher order xed points.
We develop general tools extending the techniques of [1], [2], and
[3], and we a...
THE ESSENTIAL DIMENSION OF A g-DIMENSIONAL COMPLEX ABELIAN VARIETY IS 2g
ESSENTIAL DIMENSION COMPLEX ABELIAN VARIETY IS 2g
2015/9/29
We compute the Buhler-Reichstein essential dimension of a complex abelian variety using Kummer theory.
Essential dimension is a numerical invariant of an algebraic
group G introduced by J. Buhler and the second author to study the
complexity of G-torsors over a eld K. It has since been studied by se...
We prove that the essential dimension of the spinor group
Spinn grows exponentially with n and use this result to show that quadratic forms with trivial discriminant and Hasse-Witt invariant are more...
ESSENTIAL DIMENSION OF MODULI OF CURVES AND OTHER ALGEBRAIC STACKS (WITH AN APPENDIX BY NAJMUDDIN FAKHRUDDIN)
ESSENTIAL DIMENSION OTHER ALGEBRAIC STACKS
2015/9/29
In this paper we consider questions of the following type.
Let k be a base eld and K=k be a eld extension. Given a geometric
object X over a eld K (e.g. a smooth curve of genus g) what is the
le...
ESSENTIAL DIMENSION OF ABELIAN VARIETIES OVER NUMBER FIELDS
ESSENTIAL DIMENSION OVER NUMBER FIELDS
2015/9/29
We affirmatively answer a conjecture in the preprint “Essential
dimension and algebraic stacks,” proving that the essential dimension of an
abelian variety over a number field is inʂ...
Collapsing and essential coverings
the Gromov-Hausdorff convergence Alexandrov spaces Betti numbers
2012/5/25
In the present paper, we consider the family of all compact Alexandrov spaces with curvature bound below having a definite upper diameter bound of a fixed dimension. We introduce the notion of essenti...
On properly essential classical conformal diffeomorphism groups
Essential and properly essential conformal group classical conformal diffeomorphism group cohomological equation orbit of tensor field
2011/9/22
Abstract: We prove that various classical conformal diffeomorphism groups, which are known to be essential [1], are in fact properly essential. This is a consequence of a local criterion on a conforma...
Arveson dichotomy and essential fractality
Arveson dichotomy essential spectral approximation essential fractality
2011/9/21
Abstract: The notions of fractal and essentially fractal algebras of approximation sequences and of the Arveson dichotomy have proved extremely useful for several spectral approximation problems. The ...
A note on essential smoothness in the Heston model
Essential smoothness large deviation principle Heston model
2011/10/9
Abstract: This note studies an issue relating to essential smoothness that can arise when the theory of large deviations is applied to a certain option pricing formula in the Heston model. The note id...
Pseudo-Developing Maps for Ideal Triangulations I: Essential Edges and Generalised Hyperbolic Gluing Equations
3-manifold ideal triangulation parameter space Thurston's gluing equations
2011/8/25
Abstract: Let N be a topologically finite, orientable 3-manifold with ideal triangulation. We show that if there is a solution to the hyperbolic gluing equations, then all edges in the triangulation a...
Internal Energy And Heat Energy: Distinguish is Essential
Internal Energy Heat Energy Distinguish
2011/7/7
The heat energy and the internal energy have commonly be confused in previous studies. Particularly, in recent years researchers try to establish a general relation between the heat conductivity and t...
Essential dimension of simple algebras in positive characteristic
Essential dimension simple algebras positive characteristic
2011/2/24
Let p be a prime integer, 1 ≤ s ≤ r integers, F a field of characteristic p.