IPM Calendar 
Monday 29 April 2024   Today  
Events for day: Tuesday 08 March 2022    
           16:30 - 18:00     Algebraic Geometry Biweekly Webinar
Unexpected Hypersurfaces: Some Examples, a few Constructions

School
MATHEMATICS

In recent years, a novel attitude to the classical problem of identifying and classifying special linear systems in projective n space, has been emerged. For a subvariety Z of the projective n space with defining ideal I, let P_1,�,P_s be general distinct points in this space and let m_1,�,m_s be positive integers which at least one of them is greater than one. On the subspace of those elements of degree d part of the homogeneous ideal I which vanish at P_i with multiplicity at least m_i, each fat point m_iP_i defines a specific number of linear relations on this subspace. For a given set of points P_i with multiplicity m_i, it ...