학술논문
SOME APPLICATIONS OF THE UNION OF STAR-CONFIGURATIONS IN P
이용수 2
- 영문명
- 발행기관
- 충청수학회
- 저자명
- Yong Su Shin
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 24, No. 4, 807~824쪽, 전체 18쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 2011.11.30
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국문 초록
영문 초록
It has been proved that if X(s;s) is the union of two linear star-con¯gurations in P2 of type s £ s, then (IX(s;s) )s 6= f0g
for s = 3; 4; 5, and (IX(s;s) )s = f0g for s ¸ 6. We extend P2 to Pn and show that if X(s;s) is the union of two linear star-con¯gurations in Pn, then (IX(s;s) )s = f0g for n ¸ 3 and s ¸ 3. Using this gen-eralization, we also prove that the secant variety Sec1(Splits(Pn)) has the expected dimension 2ns + 1 for n ¸ 3 and s ¸ 3.
목차
1. Introduction
2. Preliminary results and de¯nitions
3. Secant varieties Sec1(Splits(Pn))
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