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On a Question of B. Teissier

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Abstract

We answer positively a question of B. Teissier on existence of resolution of singularities inside an equivariant map of toric varieties.

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References

  1. De Concini, C., Procesi, C.: Complete symmetric varieties. II. Intersection theory, algebraic groups and related topics (Kyoto/Nagoya, 1983). Advanced Studies in Pure Mathematics, vol. 6, pp. 481–513. North-Holland, Amsterdam (1985)

  2. Hironaka, H.: Resolution of singularities of an algebraic variety over a field of characteristic zero, I and II. Ann. Math. (2) 79 (1, 2), 109–326 (1964)

    Google Scholar 

  3. Hacking, P., Keel, S., Tevelev, J.: Stable pair, tropical, and log canonical compact moduli of del Pezzo surfaces. Inventiones 178(1), 173–228 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  4. Kollár, J., et al.: Flips and abundance for algebraic threefolds. Astérisque 211, 1–258 (1992)

    Google Scholar 

  5. Luxton, M., Qu, Z.: Some results on tropical compactifications. Trans. Am. Math. Soc. 363, 4853–4876 (2011)

    Google Scholar 

  6. Teissier, B.: Valuations, deformations, and toric geometry, valuation theory and its applications, vol. II, Fields Institute of Communication, vol. 33, pp. 361–459. AMS, Providence (2003)

  7. Tevelev, J.: Compactifications of subvarieties of Tori. Am. J. Math. 129(4), 1087–1104 (2007)

    Google Scholar 

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Acknowledgments

I am grateful to B. Teissier for explaining his conjecture and partial results on resolutions in ambient toric varieties and to the organizers of the “Toric Geometry” workshop at Mathematisches Forschungsinstitut Oberwolfach where these conversations took place. The research was supported by NSF grant DMS-1001344.

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  1. Amherst, USA

    Jenia Tevelev

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  1. Jenia Tevelev
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Correspondence to Jenia Tevelev.

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Tevelev, J. On a Question of B. Teissier. Collect. Math. 65, 61–66 (2014). https://doi.org/10.1007/s13348-013-0080-9

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  • DOI: https://doi.org/10.1007/s13348-013-0080-9

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