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Examples of smooth surfaces in P3 which are Ulrich-wild

Gianfranco Casnati
대한수학회 (The Korean Mathematical Society)|2017.03|대한수학회보 (Bulletin of the KMS)|제54권 제2호|pp. 667-677

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참고문헌

키워드

vector bundlerepresentation typeUlrich bundlelinear determinantallinear pfaffian
주제분류수학

초록

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 $p$.

Abstract

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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