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38 papers · 1 filter
Inequivalence of First and Second Order Formulations in D=2 Gravity Models
S. Deser
The usual equivalence between the Palatini and metric (or affinity and vielbein) formulations of Einstein theory fails in two spacetime dimensions for its "Kaluza--Klein" reduced (…
Higher Syzygies of Elliptic Ruled Surfaces
Francisco Gallego, B. P. Purnaprajna
Let L be a normally generated line bundle on X; we say L satisfies property N_p (notation after Mark Green) if the matrices in the free resolution of R (the homogeneous coordinate…
Normal presentation on Elliptic Ruled surfaces
Francisco Gallego, B. P. Purnaprajna
In this article we determine exactly which line bundles on elliptic ruled surface X are normally presented. In particular we see that numerical classes of normally presented diviso…
The Master Field For 2D QCD On The Sphere
J. P. Nunes, H. J. Schnitzer
We continue our analysis of the field strength correlation functions of two-dimensional QCD on Riemann surfaces by studying the large limit of these correlation functions on th…
GKZ-Generalized Hypergeometric Systems in Mirror Symmetry of Calabi-Yau Hypersurfaces
S. Hosono, B. H. Lian, S. -T. Yau
We present a detailed study of the generalized hypergeometric system introduced by Gel'fand, Kapranov and Zelevinski (GKZ-hypergeometric system) in the context of toric geometry. G…
Black hole thermodynamics from quantum gravity
Gilad Lifschytz, Miguel E. Ortiz
The semiclassical approximation is studied on hypersurfaces approaching the union of future null infinity and the event horizon on a large class of four dimensional black hole back…