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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회지 대한수학회지 제58권 제5호
- 발행연도
- 2021.9
- 수록면
- 1,081 - 1,107 (27page)
- DOI
- 10.4134/JKMS.j190810
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초록· 키워드
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In this paper, we introduce the notion of toric special weak Fano manifolds, which have only special primitive crepant contractions. We study their structure, and in particular completely classify smooth toric special weak Fano $4$-folds. As a result, we can confirm that almost every smooth toric special weak Fano $4$-fold is a weakened Fano manifold, that is, a weak Fano manifold which can be deformed to a Fano manifold.
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참고문헌 (9)
참고문헌 신청
V. V. Batyrev / 1991 / On the classification of smooth projective toric varieties / Tohoku Math. J 43(4):569~585
V. V. Batyrev / 1999 / On the classification of toric Fano 4-folds / Journal of Mathematical Sciences 94(1):1021~1050
C. Casagrande / 2003 / Contractible classes in toric varieties / Mathematische Zeitschrift 243(1):99~126
O. Fujino / 2003 / Notes on toric varieties from Mori theoretic viewpoint / Tohoku Math. J. 55(4):551~564
O. Fujino / 2004 / Introduction to the toric Mori theory / Michigan Math. J 52(3):649~665
V. V. Batyrev / 1999 / On the classification of toric Fano 4-folds / Journal of Mathematical Sciences 94(1):1021~1050
C. Casagrande / 2003 / Contractible classes in toric varieties / Mathematische Zeitschrift 243(1):99~126
O. Fujino / 2003 / Notes on toric varieties from Mori theoretic viewpoint / Tohoku Math. J. 55(4):551~564
O. Fujino / 2004 / Introduction to the toric Mori theory / Michigan Math. J 52(3):649~665
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