On the conormal bundle of a G -stable subvariety

1999 ◽  
Vol 99 (2) ◽  
pp. 185-202 ◽  
Author(s):  
Dmitri I. Panyushev
Keyword(s):  
Conormal Bundle

STATIONARY DISCS AND GEOMETRY OF CR MANIFOLDS OF CODIMENSION TWO

2001 ◽  
Vol 12 (08) ◽  
pp. 877-890 ◽  
Author(s):  
A. SUKHOV ◽  
A. TUMANOV
Keyword(s):  
Contact Structure ◽  
Cr Manifolds ◽  
Codimension Two ◽  
Strictly Convex ◽  
Cr Structure ◽  
Conormal Bundle ◽  
Convex Hypersurfaces

We give a construction of stationary discs and the indicatrix for manifolds of higher codimension which is a partial analog of L. Lempert's theory of stationary discs for strictly convex hypersurfaces. This leads to new invariants of the CR structure in higher codimension linked with the contact structure of the conormal bundle.

Ideals with Trivial Conormal Bundle

1980 ◽  
Vol 32 (1) ◽  
pp. 210-218 ◽  
Author(s):  
A. V. Geramita ◽  
C. A. Weibel
Keyword(s):  
Polynomial Ring ◽  
Maximal Ideal ◽  
Noetherian Ring ◽  
Question Answering ◽  
General Theorem ◽  
Closed Field ◽  
Natural Question ◽  
Finitely Generated ◽  
Algebraically Closed Field ◽  
Conormal Bundle

Throughout this paper all rings considered will be commutative, noetherian with identity. If R is such a ring and M is a finitely generated R-module, we shall use v(M) to denote that non-negative integer with the property that M can be generated by v(M) elements but not by fewer.Since every ideal in a noetherian ring is finitely generated, it is a natural question to ask what v(I) is for a given ideal I. Hilbert's Nullstellensatz may be viewed as the first general theorem dealing with this question, answering it when I is a maximal ideal in a polynomial ring over an algebraically closed field.More recently, it has been noticed that the properties of an R-ideal I are intertwined with those of the R-module I/I2.

scholarly journals On Some Transverse Geometrical Structures of Lifted Foliation to Its Conormal Bundle

2015 ◽  
Vol 2015 ◽  
pp. 1-6
Author(s):  
Cristian Ida ◽  
Alexandru Oană
Keyword(s):  
Normal Bundle ◽  
Contact Structure ◽  
Geometrical Structures ◽  
Liouville Distribution ◽  
Conormal Bundle

We consider the lift of a foliation to its conormal bundle and some transverse geometrical structures associated with this foliation are studied. We introduce a good vertical connection on the conormal bundle and, moreover, if the conormal bundle is endowed with a transversal Cartan metric, we obtain that the lifted foliation to its conormal bundle is a Riemannian one. Also, some transversally framedf(3, ε)-structures of corank 2 on the normal bundle of lifted foliation to its conormal bundle are introduced and an almost (para)contact structure on a transverse Liouville distribution is obtained.

scholarly journals Piunikhin-Salamon-Schwarz isomorphisms and spectral invariants for conormal bundle

2017 ◽  
Vol 102 (116) ◽  
pp. 17-47
Author(s):  
Jovana Duretic
Keyword(s):  
Morse Function ◽  
Triangle Inequality ◽  
Floer Homology ◽  
Zero Section ◽  
Spectral Invariants ◽  
Conormal Bundle ◽  
Morse Homology

We give a construction of the Piunikhin-Salamon-Schwarz isomorphism between the Morse homology and the Floer homology generated by Hamiltonian orbits starting at the zero section and ending at the conormal bundle. We also prove that this isomorphism is natural in the sense that it commutes with the isomorphisms between the Morse homology for different choices of the Morse function and the Floer homology for different choices of the Hamiltonian. We define a product on the Floer homology and prove triangle inequality for conormal spectral invariants with respect to this product.

scholarly journals Truncated Microsupport and Hyperbolic Inequalities

2007 ◽  
Vol 185 ◽  
pp. 63-91
Author(s):  
Ana Rita Martins ◽  
Teresa Monteiro Fernandes
Keyword(s):  
Normal Cone ◽  
Complex Case ◽  
Conormal Bundle ◽  
Nearby Cycle ◽  
Real Analytic

AbstractWe prove that the k-truncated microsupport of the specialization of a complex of sheaves F along a submanifold is contained in the normal cone to the conormal bundle along the k-truncated microsupport of F. In the complex case, applying our estimates to , where is a coherent -module, we obtain new estimates for the truncated microsupport of real analytic and hyperfunction solutions. When is regular along Y we also obtain estimates for the truncated microsupport of the holomorphic solutions of the induced system along Y as well as for the nearby-cycle sheaf of when Y is a hypersurface.

scholarly journals On the conormal bundle of the determinantal variety

1982 ◽  
Vol 75 (2) ◽  
pp. 523-537 ◽  
Author(s):  
Elisabetta Strickland
Keyword(s):  
Conormal Bundle ◽  
Determinantal Variety

On the directrices of the conormal bundle of a curve on a quadric surface

1991 ◽  
Vol 19 (9) ◽  
pp. 2625-2639
Author(s):  
Gianfranco Casnati
Keyword(s):  
Quadric Surface ◽  
Conormal Bundle

scholarly journals On the conormal bundle of ideals

1983 ◽  
Vol 85 (2) ◽  
pp. 361-367 ◽  
Author(s):  
Budh S Nashier
Keyword(s):  
Conormal Bundle

scholarly journals On a conjecture of M. P. Murthy

1980 ◽  
Vol 77 ◽  
pp. 41-45 ◽  
Author(s):  
M. Boratyński
Keyword(s):  
Complete Intersection ◽  
Complete Intersections ◽  
Conormal Bundle ◽  
Connected Case

In [M] Murthy asked if every subvariety V of kn (k-any field) with a trivial conormal bundle is a (scheme theoretic) complete intersection.In [B] we were able to prove that all such subvarieties of kn are at least set theoretic complete intersections. Mohan Kumar has shown in [MK] that if one assumes moreover that n ≥ 2 dim V + 2 then V is a complete intersection. The aim of this paper is to prove the following result which extends the Mohan Kumar Theorem in the nonsingular (and connected) case and moreover sheds some light on his bound for n.

scholarly journals TOTAL REALITY OF CONORMAL BUNDLES OF HYPERSURFACES IN ALMOST COMPLEX MANIFOLDS

2006 ◽  
Vol 03 (05n06) ◽  
pp. 1255-1262 ◽  
Author(s):  
ANDREA SPIRO
Keyword(s):  
Complex Structure ◽  
Almost Complex Structure ◽  
Almost Complex Manifolds ◽  
Almost Complex Manifold ◽  
Conormal Bundle ◽  
Almost Complex ◽  
Real Submanifold ◽  
Totally Real Submanifold ◽  
Totally Real ◽  
Pseudoconvex Hypersurface

A generalization to the almost complex setting of a well-known result by Webster is given. Namely, we prove that if Γ is a strongly pseudoconvex hypersurface in an almost complex manifold (M, J), then the conormal bundle of Γ is a totally real submanifold of (T* M, 𝕁), where 𝕁 is the lifted almost complex structure on T* M defined by Ishihara and Yano.

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