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\newblock {\em Geometry and analysis on complex manifolds. Festschrift for
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Victor~V. Batyrev.
\newblock Dual polyhedra and mirror symmetry for {Calabi}-{Yau} hypersurfaces
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\newblock {\em J. Algebr. Geom.}, 3(3):493--535, 1994.

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Philip Candelas, Paul~S. Green, and Tristan Hübsch.
\newblock Rolling among {C}alabi-{Y}au vacua.
\newblock {\em Nuclear Physics B}, 330(1):49--102, 1990.

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Andrew Clarke and Carl Tipler.
\newblock Equivariant stable sheaves and toric {GIT}.
\newblock {\em Proceedings of the Royal Society of Edinburgh: Section A
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Tristan~C. Collins, Sebastien Picard, and Shing-Tung Yau.
\newblock Stability of the tangent bundle through conifold transitions.
\newblock {\em Preprint \href{https://arxiv.org/abs/2102.11170}{ArXiv
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David~A. Cox, John~B. Little, and Henry~K. Schenck.
\newblock {\em Toric Varieties}.
\newblock Graduate {S}tudies in {M}athematics. American Mathematical Soc.,
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\newblock Stabiliy of equivariant vector bundle over toric varieties.
\newblock {\em Documenta Mathematica}, 25:~1787--1833, 2020.

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William Fulton.
\newblock {\em Intersection Theory}.
\newblock Springer New York, 1984.

\bibitem{ful93}
William Fulton.
\newblock {\em Introduction to toric varieties}.
\newblock Annals of Mathematics Studies. Princeton Univ. Press, Princeton, NJ,
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\bibitem{Har80}
Robin Hartshorne.
\newblock Stable reflexive sheaves.
\newblock {\em Mathematische Annalen}, 254:~121 -- 176, 1980.

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\newblock {\em The Geometry of Moduli Spaces of Sheaves}.
\newblock Cambridge Mathematical Library. Cambridge University Press, 2
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Alexander Klyachko.
\newblock Equivariant bundle on toral varieties.
\newblock {\em Mathematics of the USSR-Izvestiya}, 35(2):~337 -- 375, 1990.

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Allen Knutson and Eric Sharpe.
\newblock Sheaves on toric varieties for physics.
\newblock {\em Adv. Theor. Math. Phys.}, 2(4):873--961, 1998.

\bibitem{Kob87}
Shoshichi Kobayashi.
\newblock {\em Differential Geometry of Complex Vector Bundles}.
\newblock Publications of the Mathematical Society of Japan. Princeton
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\bibitem{Koo11}
Martijn Kool.
\newblock Fixed point loci of moduli spaces of sheaves on toric varieties.
\newblock {\em Advances in Mathematics}, 227(4):~1700 -- 1755, 2011.

\bibitem{Mum62}
David Mumford.
\newblock Projective invariants of projective structures and applications.
\newblock {\em Proc. Internat. Congr. Mathematicians}, pages 526--530, 1963.

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Achim Napame.
\newblock {Stability of equivariant logarithmic tangent sheaves on toric
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\newblock {\em To appear in ``Annales de la faculté des sciences de
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Achim Napame and Carl Tipler.
\newblock Toric sheaves, stability and fibrations.
\newblock {\em Journal of Pure and Applied Algebra}, 228(3):107494, 2024.

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Sam Payne.
\newblock Moduli of toric vector bundles.
\newblock {\em Compositio Mathematica}, 144(5):1199–1213, 2008.

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Markus Perling.
\newblock Graded rings and equivariant sheaves on toric varieties.
\newblock {\em Mathematische Nachrichten}, 263/264:~181–197, 2004.

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Miles Reid.
\newblock The moduli space of 3-folds with {{\(K=0\)}} may nevertheless be
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\newblock {\em Math. Ann.}, 278:329--334, 1987.

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\newblock Cambridge University Press, 2nd. edition, 2013.

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Fumio Takemoto.
\newblock Stable vector bundles on algebraic surfaces.
\newblock {\em Nagoya Math. J.}, 47:~29 -- 48, 1972.

\end{thebibliography}
