A Computation Of Some Hilbert Series And The Stability Of A Vector Bundle Under Frobenius Morphism

Posted on:2010-12-09

Degree:Master

Type:Thesis

Country:China

Candidate:W Chen

Full Text:PDF

GTID:2120360275956733

Subject:Basic mathematics

Abstract/Summary:

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In this paper,we compute the Hilbert series of the invariant ring k[Î¾₀,â€¦,Î¾₇]^SL(2)and the number(degree) of its generators,we also study the stability of the direct images of vector bundles under the Absolute(Relative) Frobenius morphism and the induced morphism between the moduli spaces.

Keywords/Search Tags:

vector bundles, moduli space, stability, Hilbert series

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