Abstract
We give a method to estimate Seshadri constants on toric varieties at any point. By using the estimations and toric degenerations, we can obtain some new computations or estimations of Seshadri constants on non-toric varieties. In particular, we investigate Seshadri constants on hypersurfaces in projective spaces and Fano 3-folds with Picard number 1 in detail.
Funding source: Grant-in-Aid for Scientific Research
Award Identifier / Grant number: KAKENHI No. 23-56182
Funding source: Grant-in-Aid
Award Identifier / Grant number: JSPS fellows
The author would like to express his gratitude to his advisor Professor Yujiro Kawamata for his valuable advice, comments, and warm encouragement. He is grateful to Professor Robert Lazarsfeld for reading the draft and giving me helpful advice and comments. He wishes to thank Professors Yoshinori Gongyo, Yasunari Nagai, Shinnosuke Okawa, Hiromichi Takagi, and Kiwamu Watanabe for useful comments and suggestions. He would also like to thank Makoto Miura and Taro Sano for helpful comments.
© 2014 by De Gruyter
