The representation type of Segre varieties

By L. Costa, R. Mir'o-Roig, J. Pons-Llopis. 2012

61 citations recorded by the source corpus.

Abstract The goal of this work is to prove that all Segre varieties Σ n 1 , … , n s ⊆ P N , N = ∏ i = 1 s ( n i + 1 ) − 1 , (unless the quadric surface in P 3 ) support families of arbitrarily large dimension and rank of simple Ulrich (and hence ACM ) vector bundles. Therefore, they are of wild representation type.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/ce80a3dc97b3d30326565601aa660608076b5bbd

How researchers see this paper

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In Algebra and Number Theory

1. Rosa M. Mir'o-Roig Joan Pons-Llopis
2. G. Casnati

In Computational Theory and Mathematics

1. Rosa M. Mir'o-Roig Joan Pons-Llopis
2. G. Casnati

In Geometry and Topology

1. G. Casnati
2. Rosa M. Mir'o-Roig Joan Pons-Llopis

Citations in the corpus

• n-dimensional Fano varieties of wild representation type (2010, background): “[9]) and of rational ACM surfaces on P4 (cf.”
• Special Ulrich bundles on non-special surfaces with $p_g=q=0$ (2016, background): “ldness (with respect to a suitable line bundle) is known for each anticanonically embedded surface of degree at least 3 (see e.g. [12], [16], [31], [35], [13]), all the Segre products but P1 ×P1 (see [19]), determinantal varieties (see [28]), quartic surfaces in P3 and general surfaces in P3 of degr”