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Universal Polynomials for Severi Degrees of Toric Surfaces
Enumerative geometry toric surfaces Gromov-Witten theory
2011/2/25
The Severi variety parameterizes plane curves of degree d with nodes.Its degree is called the Severi degree. For large enough d, the Severi degrees coincide with the Gromov-Witten invariants of CP2....
Fields of algebraic numbers with bounded local degrees and their properties
Fields of algebraic numbers bounded local degrees their properties
2011/1/18
We provide a characterization of infinite algebraic Galois extensions of the rationals with uniformly bounded local degrees, giving a detailed proof of all the results announced in Checcoli and Zannie...
Quantum revivals in two degrees of freedom integrable systems : the torus case
two degrees of freedom integrable systems torus case
2010/11/26
The paper deals with the semi-classical behaviour of quantum dynamics for a semi-classical completely integrable system with two degrees of freedom near Liouville regular torus. The phenomomenon of wa...
On the Character Degrees of Sylow $p$-subgroups of Chevalley Group of Type $E(p^f)$
Tensor product root system irreducible characters
2010/12/7
Let Fq be a field of characteristic p with q elements. It is known that the degrees of the irreducible characters of the Sylow p-subgroup of GLn(Fq) are powers of q, see Isaacs [4]. On the other hand ...