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ЖУРНАЛЫ // Moscow Mathematical Journal

Mosc. Math. J., 2021, том 21, номер 3, страницы 639–652 (Mi mmj808)

Toric topology of the Grassmannian of planes in $\mathbb{C}^5$ and the del Pezzo surface of degree $5$
Hendrik Süß

References

1. A. A. Aizenberg, “Torus actions of complexity 1 and their local properties”, Topologiya i Fizika, Tr. Mat. Inst. Steklova, 302, 2018, 23–40 (Russian)  mathnet  crossref  mathscinet  zmath; English translation: Proc. Steklov Inst. Math., 302:1 (2018), 16–32  crossref  zmath
2. V. M. Buchstaber and S. Terzić, “Topology and geometry of the canonical action of $T^4$ on the complex Grassmannian $G_{4,2}$ and the complex projective space $\mathbb CP^5$”, Mosc. Math. J., 16:2 (2016), 237–273  mathnet  crossref  mathscinet  zmath  elib
3. V. M. Buchstaber and S. Terzić, Toric topology of the complex Grassmann manifolds, arXiv: 1802.06449 [math.AT]  mathscinet
4. V. M. Buchstaber and S. Terzić, “The foundations of $(2n, k)$-manifolds”, Mat. Sb., 210:4 (2019), 41–86 (Russian)  mathnet  crossref  mathscinet  zmath; English translation: Sb. Math., 210:4 (2019), 508–549  crossref  mathscinet  zmath
5. V. M. Buchstaber and S. Terzić, “Toric topology of the complex Grassmann manifolds”, Mosc. Math. J., 19:3 (2019), 397–463  mathnet  crossref  mathscinet  zmath
6. V. Cherepanov, Orbit spaces of torus actions on Hessenberg varieties, arXiv: 1905.02294 [math.AT]  mathscinet
7. I. V. Dolgachev, Classical algebraic geometry. A modern view, Cambridge University Press, Cambridge, 2012  mathscinet  zmath
8. I. V. Dolgachev and Y. Hu, “Variation of geometric invariant theory quotients”, With an appendix by Nicolas Ressayre, Inst. Hautes Études Sci. Publ. Math., 1998, no. 87, 5–56  crossref  mathscinet  zmath
9. M. Goresky and R. MacPherson, “On the topology of algebraic torus actions”, Algebraic groups (Utrecht, 198), Lecture Notes in Math., 1271, Springer, Berlin, 1987, 73–90  crossref  mathscinet
10. Y. Hu, “The geometry and topology of quotient varieties of torus actions”, Duke Math. J., 68:1 (1992), 151–184  mathscinet  zmath
11. Y. Hu and S. Keel, “Mori dream spaces and GIT”, Michigan Math. J., 48 (2000), 331–348  mathscinet  zmath
12. Y. Karshon and S. Tolman, “Topology of complexity one quotients”, Pacific J. Math., 308:2 (2020), 333–346  crossref  mathscinet  zmath
13. A. N. Skorobogatov, “On a theorem of Enriques-Swinnerton-Dyer”, Ann. Fac. Sci. Toulouse Math. (6), 2:3 (1993), 429–440  crossref  mathscinet  zmath
14. H. Süß, Orbit spaces of maximal torus actions on oriented Grassmannians of planes, arXiv: 1810.00981 [math.AG]


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