| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
In the modern society the error-correcting codes, which correct the errors which occurred in the process of transmitting information, is an indispensable technology. The purpose of the present research was to elucidate the properties of the general Savin code, which is an algebraic-geometric code defined by the restriction of vector bundles to divisors. As a result of the research, we could determine the parameters of the general Savin codes on certain algebraic surfaces. Furthermore we solved the existence problem of semistable sheaves on projective threefolds and proved a Bogomolov-Gieseker type inequality.
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