38 citations · 216 across the 39 of their papers we have counts for
5 papers · 1 filter
Approximation and equidistribution results for pseudo-effective line bundles
Dan Coman, George Marinescu, Viêt-Anh Nguyên
We study the distribution of the common zero sets of -tuples of holomorphic sections of powers of singular Hermitian pseudo-effective line bundles on a compact Kähler manifo…
Large deviations principle for some beta-ensembles
Tien-Cuong Dinh, Viet-Anh Nguyen
Let L be a positive line bundle over a projective complex manifold X. Consider the space of holomorphic sections of the tensor power of order p of L. The determinant of a basis of…
Explicit formulae for one-part double Hurwitz numbers with completed 3-cycles
Viet Anh Nguyen
We prove two explicit formulae for one-part double Hurwitz numbers with completed 3-cycles. We define "combinatorial Hodge integrals" from these numbers in the spirit of the celebr…
On the asymptotic behavior of Bergman kernels for positive line bundles
Tien-Cuong Dinh, Xiaonan Ma, Viet-Anh Nguyen
Let L be a positive line bundle on a projective complex manifold. We study the asymptotic behavior of Bergman kernels associated with the tensor powers L^p of L as p tends to infin…
Growth of the number of periodic points for meromorphic maps
Tien-Cuong Dinh, Viet-Anh Nguyen, Tuyen Trung Truong
We show that any dominant meromorphic self-map f of a compact Kaehler manifold X is an Artin-Mazur map. More precisely, if P_n(f) is the number of its isolated periodic points of p…