JournalsrsmupVol. 123pp. 1–36

GIT Quotients of Products of Projective Planes

  • Francesca Incensi

    Università di Bologna, Italy
GIT Quotients of Products of Projective Planes cover
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Abstract

We study the quotients for the diagonal action of _SL_3(C) on the n-fold product of P2(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).

Cite this article

Francesca Incensi, GIT Quotients of Products of Projective Planes. Rend. Sem. Mat. Univ. Padova 123 (2010), pp. 1–36

DOI 10.4171/RSMUP/123-1