Fixed point scheme of the Hilbert Scheme under a 1-dimensional additive algebraic group action

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2011

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Özkan, Engin

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In general we know that the fixed point locus of a 1-dimensional additive linear algebraic group,G_{a}, action over a complete nonsingular variety is connected. In thesis, we explicitly identify a subset of the G_{a}-fixed locus of the punctual Hilbert scheme of the d points,Hilb^{d}(P^{2}; 0),in P^{2}. In particular we give an other proof of the fact that Hilb^{d}(P^{2}; 0) is connected.

Subject Keywords

Hilbert schemes., Surfaces, Algebraic.

URI

http://etd.lib.metu.edu.tr/upload/12613165/index.pdf
https://hdl.handle.net/11511/20676

Collections

Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

E. Özkan, “Fixed point scheme of the Hilbert Scheme under a 1-dimensional additive algebraic group action,” Ph.D. - Doctoral Program, Middle East Technical University, 2011.