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課程名稱 |
代數幾何3
Algebraic Geometry (III) |
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開課學期 |
112-1 |
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授課對象 |
理學院 數學研究所 |
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授課教師 |
李庭諭 |
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課號 |
MATH5287 |
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課程識別碼 |
221 U9270 |
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班次 |
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學分 |
4.0 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期二8,9(15:30~17:20)星期五3,4(10:20~12:10) |
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上課地點 |
天數101天數304 |
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備註 |
總人數上限：30人 |
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課程簡介影片 |
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核心能力關聯 |
本課程尚未建立核心能力關連 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
Algebraic curves
Differential sheaves
Derived functors
Flatness and finiteness conditions
Cohomology and Serre duality
If time permits, we will talk about blow-ups and 27 lines on cubic surfaces over algebraically closed fields. |
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課程目標 |
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課程要求 |
可參考代數幾何2課綱
We assume the participants are familiar with schemes and some basic properties of morphisms, such as morphisms of finite type, separated morphisms, propre morphisms and so on.
We also assume the students already know coherent sheaves and Cech cohomology. |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
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參考書目 |
Vakil’s notes.
Qing Liu, algebraic geometry and arithmetic curves
Gortz and Wedhorn, Algebraic geometry 1
Hartshorne, Algebraic geometry |
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評量方式
(僅供參考) |
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週次 |
日期 |
單元主題 |
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第1週 |
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Čech cohomology |
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