Rendiconti del Seminario Matematico della Università di Padova
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Published online: 2010-06-30
GIT Quotients of Products of Projective PlanesFrancesca Incensi (1) Università di Bologna, Italy
We study the quotients for the diagonalaction of SL3(C) on the n-fold product of P2(C):we are interested in describing how the quotient changes when wevary the polarization (i.e. the choice of an ample linearized linebundle). We illustrate the different techniques for the constructionof a quotient, in particular the numerical criterion forsemi-stability and the “elementary transformations” which areresolutions of precisely described singularities (case n = 6).
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Incensi Francesca: GIT Quotients of Products of Projective Planes. Rend. Sem. Mat. Univ. Padova 123 (2010), 1-36. doi: 10.4171/RSMUP/123-1