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Abstract: Three-branes at a given toric Calabi-Yau singularity lead to different phases of the conformal field theory related by toric (Seiberg) duality. Using the dimer model/brane tiling description...
Ramanujan Invariants for discriminants congruent to $\mathbf{5\;mod \;24
Ramanujan Invariants discriminants Number Theory
2011/8/23
Abstract: In this paper we compute the minimal polynomials of Ramanujan values $27t_n^{-12}$ for discriminants D\equiv5mod24. Our method is based on Shimura Reciprocity Law as which was made computati...
Valuations and asymptotic invariants for sequences of ideals
asymptotic invariants sequences
2010/11/22
We study asymptotic jumping numbers for graded sequences of ideals, and show that every such invariant is computed by a suitable real valuation of the function field. We conjecture that every valuati...
Gromov-Witten invariants and rational curves on Grassmannians
Gromov-Witten invariants rational curves on Grassmannians
2010/11/15
We study the enumerative significance of the s-pointed genus zero Gromov-Witten invariant on a homogeneous space X. For that, we give an interpretation in terms of rational curves on X.