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Let $F\subseteq\mathbb{P}^3$ be a smooth surface of degree $3\le d\le 9$ whose equation can be expressed as either the determinant of a $d\times d$ matrix of linear forms, or the pfaffian of a $(2d)\times (2d)$ matrix of linear forms. In this paper we show that $F$ supports families of dimension $p$ of pairwise non-isomorphic, indecomposable, Ulrich bundles for arbitrary large $p$.
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참고문헌 (28)
참고문헌 신청
A. Beauville / / Ulrich bundles on surfaces with pg = q = 0
A. Beauville / 2000 / Determinantal hypersurfaces / Michigan Math. J 48 : 39 ~ 64
A. Beauville / 2016 / Ulrich bundles on abelian surfaces / Proc. Amer. Math. Soc 144 : 4609 ~ 4611
B. Ulrich / 1984 / Gorenstein rings and modules with high number of generators / Math. Z 188 (1) : 23 ~ 32
C. Okonek / 1980 / Vector bundles on complex projective spaces / Birkh¨auser
A. Beauville / 2000 / Determinantal hypersurfaces / Michigan Math. J 48 : 39 ~ 64
A. Beauville / 2016 / Ulrich bundles on abelian surfaces / Proc. Amer. Math. Soc 144 : 4609 ~ 4611
B. Ulrich / 1984 / Gorenstein rings and modules with high number of generators / Math. Z 188 (1) : 23 ~ 32
C. Okonek / 1980 / Vector bundles on complex projective spaces / Birkh¨auser
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