Upper level sets of Lelong numbers on ℙ2 and cubic curves

Let T be a positive closed current of bidimension (1, 1) with unit mass on P2 and Vα(T) be the upper level sets of Lelong numbers ν(T,x) of T. For any α≥13, we show that |Vα(T)∖C|≤2 for some cubic curve C.
Mathematische Zeitschrift


Upper level sets of Lelong numbers on P-2 and cubic curves
Kişisel, Ali Ulaş Özgür; Yazıcı, Özcan (2021-11-01)
Let T be a positive closed current of bidimension (1, 1) with unit mass on P-2 and V-alpha(T) be the upper level sets of Lelong numbers nu(T, x) of T. For any alpha >= 1/3, we show that vertical bar V-alpha(T)\C vertical bar <= 2 for some cubic curve C.
Critical behaviour of the specific heat calculated using the Raman frequencies of the lattice and internal modes near the lambda-phase transition in NH4Br
Sen, S.; Yurtseven, Hasan Hamit (Elsevier BV, 2007-05-27)
We calculate here the specific heat of NH4Br using our Raman frequency shifts for the lattice mode Of nu(7) TA (56 cm(-1)) and the internal mode Of nu(2) (1684 cm(-1)) near its lambda-phase transition (T-lambda = 234 K, P = 0). By analyzing our Raman frequency shifts, values of alpha = 0. 19 (T < T-lambda, and T > T-lambda) for the lattice mode, and alpha = 0.45 (T < T-lambda) and alpha = 0.57 (T > T-lambda) for the internal mode, are used as the values of the critical exponent for the specific heat to pred...
Higher-Order Numerical Scheme for the Fractional Heat Equation with Dirichlet and Neumann Boundary Conditions
Priya, G. Sudha; Prakash, P.; Nieto, J. J.; Kayar, Z. (Informa UK Limited, 2013-06-01)
In this article, we consider a higher-order numerical scheme for the fractional heat equation with Dirichlet and Neumann boundary conditions. By using a fourth-order compact finite-difference scheme for the spatial variable, we transform the fractional heat equation into a system of ordinary fractional differential equations which can be expressed in integral form. Further, the integral equation is transformed into a difference equation by a modified trapezoidal rule. Numerical results are provided to verif...
Invariant subspaces of collectively compact sets of linear operators
Alpay, Safak; Misirlioglu, Tunc (Springer Science and Business Media LLC, 2008-01-01)
In this paper, we first give some invariant subspace results for collectively compact sets of operators in connection with the joint spectral radius of these sets. We then prove that any collectively compact set M in alg Gamma satisfies Berger-Wang formula, where Gamma is a complete chain of subspaces of X.
ONSIPER, H (Cambridge University Press (CUP), 1992-03-01)
Given a smooth projective surface X over an algebraically closed field k and a modulus (an effective divisor) m on X, one defines the idle class group Cm(X) of X with modulus m (see 1, chapter III, section 4). The corresponding generalized Albanese variety Gum and the generalized Albanese map um:X|m|Gum have the following universal mapping property (2): if :XG is a rational map into a commutative algebraic group which induces a homomorphism Cm(X)G(k) (1, chapter III, proposition 1), then factors uniquely th...
Citation Formats
Ö. Yazici and A. U. Ö. Kişisel, “Upper level sets of Lelong numbers on ℙ2 and cubic curves,” Mathematische Zeitschrift, vol. 300, no. 3, pp. 2917–2930, 2022, Accessed: 00, 2022. [Online]. Available: https://link.springer.com/article/10.1007/s00209-021-02907-3.