Forecasting The Ocean Wave Heights Using Linear Genetic Programming

Source: ICHE Conference Archive - https://mdi-de.baw.de/icheArchiv

Donagi-Markman cubic for the generalised Hitchin system

Donagi and Markman (1993) have shown that the infinitesimal period map for an algebraic completely integrable Hamiltonian system (ACIHS) is encoded in a section of the third symmetric power of the cotangent bundle to the base of the system. For the ordinary Hitchin system the cubic is given by a formula of Balduzzi and Pantev. We show that the Balduzzi\u2013Pantev formula holds on maximal rank symplectic leaves of the G-generalised Hitchin system

Variations of moduli of parabolic bundles

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46243/1/208_2005_Article_BF01446645.pd

Schematic Harder-Narasimhan stratification for families of principal bundles in higher dimensions

Let G be a connected split reductive group over a field k of characteristic zero. Let be a smooth projective morphism of k-schemes, with geometrically connected fibers. We formulate a natural definition of a relative canonical reduction, under which principal G-bundles of any given Harder-Narasimhan type on fibers of X / S form an Artin algebraic stack over S, and as varies, these stacks define a stratification of the stack by locally closed substacks. This result extends to principal bundles in higher dimensions the earlier such result for principal bundles on families of curves. The result is new even for vector bundles, that is, for G = GL(n,k)

Moduli of regular holonomic D-modules with normal crossing singularities

Consiglio Nazionale delle Ricerche - Biblioteca Centrale -. P.le Aldo Moro, 7, Rome / CNR - Consiglio Nazionale delle RichercheSIGLEITItal