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- W2321267546 abstract "A rational map $phi: mathbb{P}^1 to mathbb{P}^1$ along with an ordered list of fixed and critical points is called a totally marked rational map. The space of totally marked degree two rational maps, $Rat^{tm}_2$ can be parametrized by an affine open subset of $(mathbb{P}^1)^5$. We consider the natural action of $SL_2$ on $Rat^{tm}_2$ induced from the action of $SL_2$ on $(mathbb{P}^1)^5$ and prove that the quotient space $Rat^{tm}_2/SL_2$ exists as a scheme. The quotient is isomorphic to a Del Pezzo surface with the isomorphism being defined over $mathbb{Z}[1/2]$." @default.
- W2321267546 created "2016-06-24" @default.
- W2321267546 creator A5007036647 @default.
- W2321267546 date "2014-08-17" @default.
- W2321267546 modified "2023-09-27" @default.
- W2321267546 title "The Moduli Space of Totally Marked Degree Two Rational Maps" @default.
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- W2321267546 hasPublicationYear "2014" @default.
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