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Geometric Monodromy around the Tropical Limit
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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Geometric Monodromy around the Tropical Limit
Інший ID:
2010 Mathematics Subject Classification: 14T05; 14D05
DOI:10.3842/SIGMA.2016.061
DOI:10.3842/SIGMA.2016.061
Посилання:
Geometric Monodromy around the Tropical Limit / Y. Yamamoto // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 10 назв. — англ.
Підтримка:
The author would like to express his gratitude to Kazushi Ueda for encouragement and helpful
advices. The author thanks to Tatsuki Kuwagaki for explaining the context of the paper [2].
The author also thanks the anonymous referees for reading this paper carefully and giving many
helpful comments. This research is supported by the Program for Leading Graduate Schools,
MEXT, Japan.
Дата:
2016
Переглядів:
503
Завантажень:
228
Анотація:
Let {Vq}q be a complex one-parameter family of smooth hypersurfaces in a toric variety. In this paper, we give a concrete description of the monodromy transformation of {Vq}q around q=∞ in terms of tropical geometry. The main tool is the tropical localization introduced by Mikhalkin.
