GIT quotients of projective spaces

Incensi, Francesca (2008) GIT quotients of projective spaces. [Preprint]
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Abstract

We study the quotients for the diagonal action of SL3(C) on the product of n-fold of P^2(C): we are interested in describing how the quotient changes when we vary the polarization (i.e. the choice of an ample linearized line bundle). We illustrate the different techniques for the construction of a quotient, in particular the numerical criterion for semi-stability and the “elementary transformations” which are resolutions of precisely described singularities (case n = 6).

Abstract
Document type
Preprint
Creators
CreatorsAffiliationORCID
Incensi, Francesca
Keywords
Geometric Invariant Theory, Variation of polarization
Subjects
DOI
Deposit date
27 Mar 2008
Last modified
16 May 2011 12:07
URI

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