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課程名稱 |
代數幾何專題
TOPICS IN ALGEBRAIC GEOMETRY |
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開課學期 |
97-2 |
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授課對象 |
理學院 數學研究所 |
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授課教師 |
林惠雯 |
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課號 |
MATH5147 |
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課程識別碼 |
221 U5360 |
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班次 |
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學分 |
3 |
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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 |
星期三2,3,4(9:10~12:10) |
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上課地點 |
新201 |
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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 |
核心能力與課程規劃關聯圖 |
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課程大綱
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課程概述 |
THIS COURSE IS DESIGNED TO PROVIDE STUDENTS ENOUGH BACKGROUND FOR ADVANCED STUDY ON ALGEBRAIC GEOMETRY. THE MAIN SUBJECT IS TO INTRODUCE “INTERSECTION THEORY”. WE INTEND TO HAVE THE FOLLOWING CONTENTS WHICH BASICALLY FOLLOW FULTON’S BOOK:
1. RATIONAL EQUIVALENCE
2. CHERN CLASSES AND SEGRE CLASSES
3. DEFORMATION TO THE NORMAL CONE
4. INTERSECTION PRODUCTS AND MULTIPLICITIES
5. INTERSECTION ON NON-SINGULAR VARIETIES
RIEMANN-ROCH FOR NON-SINGULAR VARIETIES
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課程目標 |
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課程要求 |
COURSE PREREQUISITE：
SCHEME THEORY; COHOMOLOGY THEORY
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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 |
W. FULTON, INTERSECTION THEORY |
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評量方式
(僅供參考) |
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