대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제54권2호
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  • Pages.667-677
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  • 2017
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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EXAMPLES OF SMOOTH SURFACES IN ℙ3 WHICH ARE ULRICH-WILD

  • 투고 : 2016.03.25
  • 발행 : 2017.03.31
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초록

Let $F{\subseteq}{\mathbb{P}}^3$ be a smooth surface of degree $3{\leq}d{\leq}9$ 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

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피인용 문헌

  1. Special Ulrich bundles on non-special surfaces with pg = q = 0 vol.28, pp.08, 2017, https://doi.org/10.1142/S0129167X17500616