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- W3086447997 abstract "The technique of blow up has been used to solve several important problems in algebraic geometry and symplectic topology since 1980s. In this paper, we compare the singularities and torsions in the integral cohomologies of quasitoric orbifolds with its blow ups as well as blow downs. In general, it is difficult to make such resemblance. However under few unavoidable hypotheses in this circumstance, we show that no new singularity and torsion arises in the integral cohomologies of certain blow ups and blow downs of a quasitoric orbifold. As a consequence, we construct infinitely many equivariantly formal non-trivial quasitoric orbifolds from a given one. We show that our main result on blow downs of quasitoric orbifolds generalizes the main work of this https URL. Even though blow down of a quasitoric orbifold may seem to be a reverse of blow up of a quasitoric orbifold, we have discovered some of its own beauty. We continue our investigation into blow ups and blow downs of a class of simplicial toric varieties at the end of this paper." @default.
- W3086447997 created "2020-09-21" @default.
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- W3086447997 date "2019-12-15" @default.
- W3086447997 modified "2023-09-26" @default.
- W3086447997 title "Blow ups and blow downs of quasitoric orbifolds and simplicial toric varieties" @default.
- W3086447997 hasPublicationYear "2019" @default.
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