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- W4367189782 abstract "We investigate the relation between essential divisors and F-blowups, in particular, address the problem whether all essential divisors appear on the $e$-th F-blowup for large enough $e$. Focusing on the case of normal affine toric varieties, we establish a simple sufficient condition for a divisor over the given toric variety to appear on the normalized limit F-blowup as a prime divisor. As a corollary, we show that if a normal toric variety has a crepant resolution, then the above problem has a positive answer, provided that we use the notion of essential divisors in the sense of Bouvier and Gonzalez-Sprinberg. We also provide an example of toric threefold singularities for which a non-essential divisor appears on an F-blowup." @default.
- W4367189782 created "2023-04-28" @default.
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- W4367189782 date "2023-04-25" @default.
- W4367189782 modified "2023-10-14" @default.
- W4367189782 title "F-blowups and essential divisors for toric varieties" @default.
- W4367189782 doi "https://doi.org/10.48550/arxiv.2304.13247" @default.
- W4367189782 hasPublicationYear "2023" @default.
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