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- W2963606611 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.
- W2963606611 created "2019-07-30" @default.
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- W2963606611 date "2015-01-01" @default.
- W2963606611 modified "2023-09-27" @default.
- W2963606611 title "The moduli space of totally marked degree two rational maps" @default.
- W2963606611 doi "https://doi.org/10.4064/aa167-3-3" @default.
- W2963606611 hasPublicationYear "2015" @default.
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