نتایج جستجو برای: codimension 2 subvarieties

تعداد نتایج: 2528055  

2008
BERNARD SHIFFMAN

We consider the zero sets ZN of systems of m random polynomials of degree N in m complex variables, and we give asymptotic formulas for the random variables given by summing a smooth test function over ZN . Our asymptotic formulas show that the variances for these smooth statistics have the growth N. We also prove analogues for the integrals of smooth test forms over the subvarieties defined by...

Journal: :Journal of Physics: Conference Series 2010

2009
Misha Verbitsky M. Verbitsky

Let (M,ω) be a Kähler manifold. An integrable function φ on M is called ω-plurisubharmonic if the current ddφ ∧ ω is positive. We prove that φ is ωplurisubharmonic if and only if φ is subharmonic on all q-dimensional complex subvarieties. We prove that a ωplurisubharmonic function is q-convex, and admits a local approximation by smooth, ω-plurisubharmonic functions. For any closed subvariety Z ...

2007
Nicolas Perrin

We investigate a method proposed by E. Arrondo and J. Caravantes to study the Picard group of a smooth lowcodimension subvariety X in a variety Y when Y is homogeneous. We prove that this method is strongly related to the signature σY of the Poincaré pairing on the middle cohomology of Y . We give under some topological assumptions a bound on the rank of Picard group Pic(X) in terms of σY and r...

2004
Nick Bezhanishvili

In [2] we investigated the lattice Λ(Df 2) of all subvarieties of the variety Df2 of two-dimensional diagonal free cylindric algebras. In the present paper we investigate the lattice Λ(CA2) of all subvarieties of the variety CA2 of two-dimensional cylindric algebras. We prove that the cardinality of Λ(CA2) is that of the continuum, give a criterion for a subvariety of CA2 to be locally finite, ...

Journal: :Journal of Symbolic Computation 2002

Journal: :Journal of Differential Geometry 1989

Journal: :Michigan Mathematical Journal 2009

Journal: :Modern Physics Letters A 2008

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